Ecrit par ✅ Quiz : Addition Des Vitesses
Ce quiz contient 20 questions.
Note : Placeholder pour valider la structure. Le JSON converti est conservé ci-dessous pour l’import final des vraies questions Tutor LMS.
JSON Tutor LMS-ready
{
"quiz_title": "Addition Des Vitesses",
"quiz_slug": "03_addition_des_vitesses_quiz",
"quiz_description": "Quiz Edu509 : Addition Des Vitesses",
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"time_value": 0,
"time_type": "minutes"
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"questions": [
{
"question_order": 1,
"question_title": "Un train roule à \\\\( 20 \\\\mathrm{m/s} \\\\) par rapport au sol. Un passager marche à \\\\( 1{,}5 \\\\mathrm{m/s} \\\\) dans le même sens que le train (par rapport au train). Quelle est la vitesse du passager par rapport au sol ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La vitesse du passager par rapport au sol est la somme des vitesses : \\\\( v_{P/S} = v_{P/T} + v_{T/S} = 1{,}5 + 20 = 21{,}5 \\\\mathrm{m/s} \\\\).",
"answers": [
{
"answer_title": "21,5 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "18,5 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "20,0 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "1,5 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 2,
"question_title": "Un bateau avance à \\\\( 4{,}0 \\\\mathrm{m/s} \\\\) par rapport à l’eau, perpendiculairement à un courant de \\\\( 3{,}0 \\\\mathrm{m/s} \\\\). Quel est le module de la vitesse du bateau par rapport au sol ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "On additionne les vitesses perpendiculaires : \\\\( v_{B/S} = \\\\sqrt{4{,}0^2 + 3{,}0^2} = \\\\sqrt{16 + 9} = \\\\sqrt{25} = 5,0 \\\\mathrm{m/s} \\\\).",
"answers": [
{
"answer_title": "5,0 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "7,0 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "1,0 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "3,5 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 3,
"question_title": "Une personne marche à \\\\( 1{,}2 \\\\mathrm{m/s} \\\\) sur un tapis roulant qui avance à \\\\( 0{,}8 \\\\mathrm{m/s} \\\\) dans le même sens. Quelle est la vitesse de la personne par rapport au sol ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "On additionne les vitesses dans le même sens : \\\\( v_{P/S} = 1{,}2 + 0,8 = 2,0 \\\\mathrm{m/s} \\\\).",
"answers": [
{
"answer_title": "2,0 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,4 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "1,2 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,8 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 4,
"question_title": "Un avion vole à \\\\( 250 \\\\mathrm{km/h} \\\\) vers l’est par rapport à l’air. Le vent souffle vers l’ouest à \\\\( 30 \\\\mathrm{km/h} \\\\). Quelle est la vitesse de l’avion par rapport au sol ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Le vent est opposé au mouvement : \\\\( v_{A/S} = 250 + (-30) = 220 \\\\mathrm{km/h} \\\\).",
"answers": [
{
"answer_title": "220 \\\\( \\\\mathrm{km/h} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "280 \\\\( \\\\mathrm{km/h} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "250 \\\\( \\\\mathrm{km/h} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "30 \\\\( \\\\mathrm{km/h} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 5,
"question_title": "Un nageur nage à \\\\( 1{,}0 \\\\mathrm{m/s} \\\\) par rapport à l’eau, perpendiculairement à un courant de \\\\( 0{,}6 \\\\mathrm{m/s} \\\\). Quel est le module de sa vitesse par rapport au sol ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Addition vectorielle : \\\\( v_{N/S} = \\\\sqrt{1{,}0^2 + 0{,}6^2} = \\\\sqrt{1{,}0 + 0,36} = \\\\sqrt{1,36} \\\\approx 1,17 \\\\mathrm{m/s} \\\\).",
"answers": [
{
"answer_title": "1,17 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,4 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "1,6 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,6 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 6,
"question_title": "Un cycliste roule à \\\\( 12 \\\\mathrm{m/s} \\\\) vers l’est. Un vent souffle à \\\\( 3 \\\\mathrm{m/s} \\\\) vers l’ouest. Quelle est la vitesse du cycliste par rapport au sol ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Le vent est opposé : \\\\( v_{C/S} = 12 + (-3) = 9 \\\\mathrm{m/s} \\\\).",
"answers": [
{
"answer_title": "9 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "15 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "12 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "3 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 7,
"question_title": "Un bateau avance à \\\\( 5 \\\\mathrm{m/s} \\\\) par rapport à l’eau. Le courant va dans le même sens à \\\\( 2 \\\\mathrm{m/s} \\\\). Quelle est la vitesse du bateau par rapport au sol ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Les vitesses sont dans le même sens : \\\\( v_{B/S} = 5 + 2 = 7 \\\\mathrm{m/s} \\\\).",
"answers": [
{
"answer_title": "7 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "3 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "2 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "5 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 8,
"question_title": "Un train roule à \\\\( 30 \\\\mathrm{m/s} \\\\) vers l’ouest. Un passager marche à \\\\( 2 \\\\mathrm{m/s} \\\\) vers l’est (par rapport au train). Quelle est la vitesse du passager par rapport au sol ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Le passager marche en sens inverse : \\\\( v_{P/S} = -2 + 30 = 28 \\\\mathrm{m/s} \\\\) vers l’ouest.",
"answers": [
{
"answer_title": "28 \\\\( \\\\mathrm{m/s} \\\\) vers l’ouest",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "32 \\\\( \\\\mathrm{m/s} \\\\) vers l’ouest",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "30 \\\\( \\\\mathrm{m/s} \\\\) vers l’est",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "2 \\\\( \\\\mathrm{m/s} \\\\) vers l’ouest",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 9,
"question_title": "Un tapis roulant avance à \\\\( 1{,}0 \\\\mathrm{m/s} \\\\) vers l’est. Une personne marche à \\\\( 0{,}5 \\\\mathrm{m/s} \\\\) vers l’ouest (par rapport au tapis). Quelle est sa vitesse par rapport au sol ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La personne marche en sens inverse : \\\\( v_{P/S} = -0,5 + 1,0 = 0,5 \\\\mathrm{m/s} \\\\) vers l’est.",
"answers": [
{
"answer_title": "0,5 \\\\( \\\\mathrm{m/s} \\\\) vers l’est",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "1,5 \\\\( \\\\mathrm{m/s} \\\\) vers l’est",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,5 \\\\( \\\\mathrm{m/s} \\\\) vers l’ouest",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "1,0 \\\\( \\\\mathrm{m/s} \\\\) vers l’ouest",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 10,
"question_title": "Un avion vole à \\\\( 180 \\\\mathrm{km/h} \\\\) vers le nord par rapport à l’air. Le vent souffle à \\\\( 60 \\\\mathrm{km/h} \\\\) vers le nord. Quelle est la vitesse de l’avion par rapport au sol ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Les deux vitesses sont dans le même sens : \\\\( v_{A/S} = 180 + 60 = 240 \\\\mathrm{km/h} \\\\).",
"answers": [
{
"answer_title": "240 \\\\( \\\\mathrm{km/h} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "120 \\\\( \\\\mathrm{km/h} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "60 \\\\( \\\\mathrm{km/h} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "180 \\\\( \\\\mathrm{km/h} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 11,
"question_title": "Un nageur nage à \\\\( 1{,}5 \\\\mathrm{m/s} \\\\) par rapport à l’eau, perpendiculairement à un courant de \\\\( 1,0 \\\\mathrm{m/s} \\\\). Quel est l’angle de sa trajectoire par rapport au courant ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "L’angle \\\\( \\\\theta = \\\\arctan\\\\left(\\\\frac{1{,}5}{1,0}\\\\right) = \\\\arctan(1,5) \\\\approx 56,3^\\\\circ \\\\).",
"answers": [
{
"answer_title": "56,3°",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "33,7°",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "45,0°",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "90,0°",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 12,
"question_title": "Un bateau avance à \\\\( 2,0 \\\\mathrm{m/s} \\\\) par rapport à l’eau, perpendiculairement à un courant de \\\\( 1,5 \\\\mathrm{m/s} \\\\). Quel est le module de sa vitesse par rapport au sol ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Addition vectorielle : \\\\( v_{B/S} = \\\\sqrt{2,0^2 + 1,5^2} = \\\\sqrt{4,0 + 2,25} = \\\\sqrt{6,25} = 2,5 \\\\mathrm{m/s} \\\\).",
"answers": [
{
"answer_title": "2,5 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "3,5 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "1,5 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,5 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 13,
"question_title": "Un train roule à \\\\( 40 \\\\mathrm{m/s} \\\\) vers l’est. Un passager marche à \\\\( 3 \\\\mathrm{m/s} \\\\) vers l’ouest (par rapport au train). Quelle est la vitesse du passager par rapport au sol ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Le passager marche en sens inverse : \\\\( v_{P/S} = -3 + 40 = 37 \\\\mathrm{m/s} \\\\) vers l’est.",
"answers": [
{
"answer_title": "37 \\\\( \\\\mathrm{m/s} \\\\) vers l’est",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "43 \\\\( \\\\mathrm{m/s} \\\\) vers l’est",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "3 \\\\( \\\\mathrm{m/s} \\\\) vers l’ouest",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "40 \\\\( \\\\mathrm{m/s} \\\\) vers l’ouest",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 14,
"question_title": "Un tapis roulant avance à \\\\( 2,0 \\\\mathrm{m/s} \\\\) vers l’est. Une personne marche à \\\\( 1,0 \\\\mathrm{m/s} \\\\) vers l’ouest (par rapport au tapis). Quelle est sa vitesse par rapport au sol ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La personne marche en sens inverse : \\\\( v_{P/S} = -1,0 + 2,0 = 1,0 \\\\mathrm{m/s} \\\\) vers l’est.",
"answers": [
{
"answer_title": "1,0 \\\\( \\\\mathrm{m/s} \\\\) vers l’est",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "3,0 \\\\( \\\\mathrm{m/s} \\\\) vers l’est",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "1,0 \\\\( \\\\mathrm{m/s} \\\\) vers l’ouest",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "2,0 \\\\( \\\\mathrm{m/s} \\\\) vers l’ouest",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 15,
"question_title": "Un avion vole à \\\\( 300 \\\\mathrm{km/h} \\\\) vers l’ouest par rapport à l’air. Le vent souffle à \\\\( 50 \\\\mathrm{km/h} \\\\) vers l’ouest. Quelle est la vitesse de l’avion par rapport au sol ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Les deux vitesses sont dans le même sens : \\\\( v_{A/S} = 300 + 50 = 350 \\\\mathrm{km/h} \\\\).",
"answers": [
{
"answer_title": "350 \\\\( \\\\mathrm{km/h} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "250 \\\\( \\\\mathrm{km/h} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "300 \\\\( \\\\mathrm{km/h} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "50 \\\\( \\\\mathrm{km/h} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 16,
"question_title": "Un bateau avance à \\\\( 6,0 \\\\mathrm{m/s} \\\\) par rapport à l’eau, perpendiculairement à un courant de \\\\( 8,0 \\\\mathrm{m/s} \\\\). Quel est le module de sa vitesse par rapport au sol ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Addition vectorielle : \\\\( v_{B/S} = \\\\sqrt{6,0^2 + 8,0^2} = \\\\sqrt{36 + 64} = \\\\sqrt{100} = 10,0 \\\\mathrm{m/s} \\\\).",
"answers": [
{
"answer_title": "10,0 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "14,0 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "2,0 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "7,0 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 17,
"question_title": "Un cycliste roule à \\\\( 10 \\\\mathrm{m/s} \\\\) vers l’ouest. Un vent souffle à \\\\( 2 \\\\mathrm{m/s} \\\\) vers l’est. Quelle est la vitesse du cycliste par rapport au sol ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Le vent est opposé : \\\\( v_{C/S} = -2 + 10 = 8 \\\\mathrm{m/s} \\\\) vers l’ouest.",
"answers": [
{
"answer_title": "8 \\\\( \\\\mathrm{m/s} \\\\) vers l’ouest",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "12 \\\\( \\\\mathrm{m/s} \\\\) vers l’ouest",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "10 \\\\( \\\\mathrm{m/s} \\\\) vers l’est",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "2 \\\\( \\\\mathrm{m/s} \\\\) vers l’ouest",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 18,
"question_title": "Un nageur nage à \\\\( 1,2 \\\\mathrm{m/s} \\\\) par rapport à l’eau, perpendiculairement à un courant de \\\\( 0,9 \\\\mathrm{m/s} \\\\). Quel est le module de sa vitesse par rapport au sol ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Addition vectorielle : \\\\( v_{N/S} = \\\\sqrt{1,2^2 + 0,9^2} = \\\\sqrt{1,44 + 0,81} = \\\\sqrt{2,25} = 1,5 \\\\mathrm{m/s} \\\\).",
"answers": [
{
"answer_title": "1,5 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "2,1 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,3 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "1,0 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 19,
"question_title": "Un train roule à \\\\( 25 \\\\mathrm{m/s} \\\\) vers l’est. Un passager marche à \\\\( 2 \\\\mathrm{m/s} \\\\) vers l’est (par rapport au train). Quelle est la vitesse du passager par rapport au sol ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Les deux vitesses sont dans le même sens : \\\\( v_{P/S} = 2 + 25 = 27 \\\\mathrm{m/s} \\\\).",
"answers": [
{
"answer_title": "27 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "23 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "2 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "25 \\\\( \\\\mathrm{m/s} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 20,
"question_title": "Un bateau avance à \\\\( 3,0 \\\\mathrm{m/s} \\\\) par rapport à l’eau, perpendiculairement à un courant de \\\\( 4,0 \\\\mathrm{m/s} \\\\). Quel est l’angle de sa trajectoire par rapport au courant ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "L’angle \\\\( \\\\theta = \\\\arctan\\\\left(\\\\frac{3,0}{4,0}\\\\right) = \\\\arctan(0,75) \\\\approx 36,9^\\\\circ \\\\).",
"answers": [
{
"answer_title": "36,9°",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "53,1°",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "45,0°",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "90,0°",
"is_correct": false,
"answer_order": 4
}
]
}
]
}