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{"name": "cormac's copy of Trigonometry I: Right-angled triangles", "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": [{"functions": {}, "parts": [{"gaps": [{"showPrecisionHint": false, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "precision": "2", "mustBeReduced": false, "unitTests": [], "precisionType": "dp", "marks": "2", "correctAnswerFraction": false, "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "customMarkingAlgorithm": "", "correctAnswerStyle": "plain", "minValue": "{a[0]}cos({x[0]}pi/180)", "precisionMessage": "<p>You have not given your answer to the correct precision.</p>", "scripts": {}, "strictPrecision": false, "maxValue": "{a[0]}cos({x[0]}pi/180)", "allowFractions": false, "showCorrectAnswer": true, "precisionPartialCredit": "50", "mustBeReducedPC": 0, "type": "numberentry", "notationStyles": ["plain", "en", "si-en"]}], "showFeedbackIcon": true, "scripts": {}, "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "unitTests": [], "marks": 0, "prompt": "<p>$a=\\var{a[0]}$</p>\n<p>$x=\\var{x[0]}^\\circ$</p>\n<p>$c=$&nbsp;[[0]]</p>", "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "type": "gapfill", "sortAnswers": false, "customMarkingAlgorithm": ""}, {"gaps": [{"showPrecisionHint": false, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "precision": "2", "mustBeReduced": false, "unitTests": [], "precisionType": "dp", "marks": "2", "correctAnswerFraction": false, "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "customMarkingAlgorithm": "", "correctAnswerStyle": "plain", "minValue": "arctan({fa_1}/{fa})*(180/pi)", "precisionMessage": "You have not given your answer to the correct precision.", "scripts": {}, "strictPrecision": true, "maxValue": "arctan({fa_1}/{fa})*(180/pi)", "allowFractions": false, "showCorrectAnswer": true, "precisionPartialCredit": "50", "mustBeReducedPC": 0, "type": "numberentry", "notationStyles": ["plain", "en", "si-en"]}], "showFeedbackIcon": true, "scripts": {}, "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "unitTests": [], "marks": 0, "prompt": "<p>$b=\\var{fa_1}$</p>\n<p>$c=\\var{fa}$</p>\n<p>$x=$&nbsp;[[0]]$^\\circ$</p>", "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "type": "gapfill", "sortAnswers": false, "customMarkingAlgorithm": ""}], "extensions": [], "preamble": {"js": "", "css": ""}, "variables": {"fh": {"name": "fh", "definition": "random(6..10)", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "a": {"name": "a", "definition": "repeat(random(3..10),7)", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "x": {"name": "x", "definition": "shuffle([25,30,40,50,60,70])", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "fa": {"name": "fa", "definition": "random(2..5)", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "fa_1": {"name": "fa_1", "definition": "random(1..4)", "group": "Ungrouped variables", "description": "", "templateType": "anything"}}, "rulesets": {}, "advice": "<p></p>\n<p></p>\n<p></p>\n<p></p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "name": "cormac's copy of Trigonometry I: Right-angled triangles", "tags": [], "ungrouped_variables": ["a", "x", "fa", "fh", "fa_1"], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.</p>"}, "statement": "<p><strong>Using the right-angled triangle pictured below (not to scale), find the specified side lengths or angles using trigonometry and the given values.&nbsp;</strong></p>\n<p style=\"text-align: center;\"><img src=\"resources/question-resources/triangle_6nKlln9.png\"/></p>\n<p style=\"text-align: left;\">Give your answers to <strong>two decimal places</strong>.</p>\n<p style=\"text-align: left;\"></p>", "type": "question", "contributors": [{"name": "cormac breen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/306/"}, {"name": "Sarah Turner", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/881/"}]}]}], "contributors": [{"name": "cormac breen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/306/"}, {"name": "Sarah Turner", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/881/"}]}