// Numbas version: exam_results_page_options {"name": "Paul's copy of Trigonometry Q4 Sine rule", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [{"variables": [], "name": "Unnamed group"}], "statement": "

Referring to the triangle below.

", "variables": {"angleA": {"description": "", "templateType": "anything", "name": "angleA", "definition": "180-(angleB+angleC)", "group": "Ungrouped variables"}, "b": {"description": "", "templateType": "anything", "name": "b", "definition": "asinA*sin(radians(angleB))", "group": "Ungrouped variables"}, "asinA": {"description": "", "templateType": "anything", "name": "asinA", "definition": "a/(sin(radians(angleA)))\n", "group": "Ungrouped variables"}, "c": {"description": "", "templateType": "anything", "name": "c", "definition": "asinA*sin(radians(angleC))", "group": "Ungrouped variables"}, "unitList": {"description": "

Units that are to be used for the question.

", "templateType": "list of strings", "name": "unitList", "definition": "[ \"mm\", \"cm\", \"m\", \"km\" ]", "group": "Ungrouped variables"}, "angleC": {"description": "", "templateType": "anything", "name": "angleC", "definition": "random(30..60 except angleB)", "group": "Ungrouped variables"}, "units": {"description": "", "templateType": "anything", "name": "units", "definition": "random(unitList)", "group": "Ungrouped variables"}, "a": {"description": "", "templateType": "anything", "name": "a", "definition": "random(5..50)", "group": "Ungrouped variables"}, "angleB": {"description": "

angle

", "templateType": "anything", "name": "angleB", "definition": "random(30..60)", "group": "Ungrouped variables"}}, "metadata": {"description": "

Draws a triangle based on 2 angles and a side length.

Use the sine rule to calculate the sides and the properties of a triangle to find the missing angle.

{plotgraph(units,a,b,c,angleA,angleB,angleC)}

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What is the length of sides AB and AC?

\n

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AB = [[0]] {units}

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AC = [[1]] {units}

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What is angle C to the nearest degree?

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C = [[2]] $^{\\circ}$

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