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

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", "variable_groups": [{"variables": [], "name": "Unnamed group"}], "variables": {"asinA": {"templateType": "anything", "group": "Ungrouped variables", "definition": "a/(sin(radians(angleA)))\n", "name": "asinA", "description": ""}, "b": {"templateType": "anything", "group": "Ungrouped variables", "definition": "asinA*sin(radians(angleB))", "name": "b", "description": ""}, "units": {"templateType": "anything", "group": "Ungrouped variables", "definition": "random(unitList)", "name": "units", "description": ""}, "angleB": {"templateType": "anything", "group": "Ungrouped variables", "definition": "random(30..60)", "name": "angleB", "description": "

angle

"}, "unitList": {"templateType": "list of strings", "group": "Ungrouped variables", "definition": "[ \"mm\", \"cm\", \"m\", \"km\" ]", "name": "unitList", "description": "

Units that are to be used for the question.

"}, "angleC": {"templateType": "anything", "group": "Ungrouped variables", "definition": "random(30..60 except angleB)", "name": "angleC", "description": ""}, "a": {"templateType": "anything", "group": "Ungrouped variables", "definition": "random(5..50)", "name": "a", "description": ""}, "c": {"templateType": "anything", "group": "Ungrouped variables", "definition": "asinA*sin(radians(angleC))", "name": "c", "description": ""}, "angleA": {"templateType": "anything", "group": "Ungrouped variables", "definition": "180-(angleB+angleC)", "name": "angleA", "description": ""}}, "name": "Trigonometry Sine rule", "parts": [{"showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "marks": 0, "type": "gapfill", "prompt": "

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

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What is the length of sides AB and AC?

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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]] $^{\\circ}$