// Numbas version: finer_feedback_settings {"name": "Right Angle Trigonometry (missing side)", "extensions": [], "custom_part_types": [], "resources": [["question-resources/triangle_6nKlln9.png", "/srv/numbas/media/question-resources/triangle_6nKlln9.png"], ["question-resources/triangle_2.png", "/srv/numbas/media/question-resources/triangle_2.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Right Angle Trigonometry (missing side)", "tags": [], "metadata": {"description": "
Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.
", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "Using the right-angled triangle pictured below (not to scale), find the missing side lengths. Give your answers to two decimal places.
\n$a=\\var{a[0]}$
\n$x=\\var{x[0]}^\\circ$
\n$c=$ [[0]]
", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minValue": "{a[0]}cos({x[0]}pi/180)", "maxValue": "{a[0]}cos({x[0]}pi/180)", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "0", "precisionMessage": "You have not given your answer to the correct precision.
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\n$b=\\var{a[1]}$
\n$y=\\var{x[1]}^\\circ$
\n$c=$ [[0]]
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\n$a=\\var{a[2]}$
\n$y=\\var{x[2]}^\\circ$
\n$c=$ [[0]]
", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minValue": "{a[2]}sin({x[2]}pi/180)", "maxValue": "{a[2]}sin({x[2]}pi/180)", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "0", "precisionMessage": "You have not given your answer to the correct precision.
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\n$b=\\var{a[3]}$
\n$x=\\var{x[3]}^\\circ$
\n$a=$ [[0]]
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