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{"name": "Geometry. Right-angled triangle II. Version 5", "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": [{"variable_groups": [], "advice": "<ul>\n<li>You need to use Pythagorus and/or SOH CAH TOA. See 1.4, 1.5, 2.4 and 2.5 for background and examples.</li>\n<li>Remember to only round your answers at the end, not in the middle of calculations.</li>\n</ul>", "name": "Geometry. Right-angled triangle II. Version 5", "tags": [], "statement": "<p style=\"text-align: left;\">This is a calculator question.&nbsp;You will need to use Pythagorus Theorem and SOH CAH TOA. Google these if you need a recap.</p>\n<p style=\"text-align: center;\"><img src=\"resources/question-resources/triangle_6nKlln9.png\"/></p>", "preamble": {"js": "", "css": ""}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Finding unknown sides/angles in right-angled triangles.</p>\n<p></p>\n<p>Version 1:&nbsp;b,c known</p>\n<p>Version 2:&nbsp;a,x known</p>\n<p>Version 3: a,y known</p>\n<p>Version 4: b,x known</p>\n<p>Version 5: b,a known</p>\n<p>Version 6: c,a known</p>"}, "functions": {}, "ungrouped_variables": ["b", "a", "c", "x", "y"], "variablesTest": {"maxRuns": 100, "condition": ""}, "parts": [{"unitTests": [], "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "type": "gapfill", "showCorrectAnswer": true, "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "sortAnswers": false, "customMarkingAlgorithm": "", "scripts": {}, "prompt": "<p>$a=\\var{a}$ and $b = \\var{b}$. Calculate the other quantities.</p>\n<p>$x = $ [[0]]</p>\n<p>$y =$ [[1]]</p>\n<p>$c = $ [[2]]</p>\n<p></p>\n<p>Give your angles in degrees and give all answers to 3 s.f.</p>", "marks": 0, "gaps": [{"unitTests": [], "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "correctAnswerStyle": "plain", "type": "numberentry", "showCorrectAnswer": true, "showFeedbackIcon": true, "correctAnswerFraction": false, "extendBaseMarkingAlgorithm": true, "allowFractions": false, "maxValue": "{x}", "minValue": "{x}", "customMarkingAlgorithm": "", "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "mustBeReducedPC": 0, "marks": 1, "mustBeReduced": false}, {"unitTests": [], "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "correctAnswerStyle": "plain", "type": "numberentry", "showCorrectAnswer": true, "showFeedbackIcon": true, "correctAnswerFraction": false, "extendBaseMarkingAlgorithm": true, "allowFractions": false, "maxValue": "{y}", "minValue": "{y}", "customMarkingAlgorithm": "", "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "mustBeReducedPC": 0, "marks": 1, "mustBeReduced": false}, {"unitTests": [], "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "correctAnswerStyle": "plain", "type": "numberentry", "showCorrectAnswer": true, "showFeedbackIcon": true, "correctAnswerFraction": false, "extendBaseMarkingAlgorithm": true, "allowFractions": false, "maxValue": "{c}", "minValue": "{c}", "customMarkingAlgorithm": "", "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "mustBeReducedPC": 0, "marks": 1, "mustBeReduced": false}]}], "extensions": [], "rulesets": {}, "variables": {"x": {"definition": "siground(arcsin(b/a)/pi*180,3)", "description": "", "name": "x", "templateType": "anything", "group": "Ungrouped variables"}, "a": {"definition": "round(1.4*b)+random(3..7)", "description": "", "name": "a", "templateType": "anything", "group": "Ungrouped variables"}, "c": {"definition": "siground(sqrt(a^2-b^2),3)", "description": "", "name": "c", "templateType": "anything", "group": "Ungrouped variables"}, "b": {"definition": "random(5..18)", "description": "", "name": "b", "templateType": "anything", "group": "Ungrouped variables"}, "y": {"definition": "90-x", "description": "", "name": "y", "templateType": "anything", "group": "Ungrouped variables"}}, "type": "question", "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}]}]}], "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}]}