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{"name": "Trigonometry: Right-angled triangle II. Version 6", "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": [{"preamble": {"js": "", "css": ""}, "extensions": [], "variable_groups": [], "parts": [{"variableReplacementStrategy": "originalfirst", "sortAnswers": false, "showCorrectAnswer": true, "showFeedbackIcon": true, "gaps": [{"maxValue": "{x}", "marks": 1, "mustBeReduced": false, "mustBeReducedPC": 0, "correctAnswerStyle": "plain", "showCorrectAnswer": true, "minValue": "{x}", "showFeedbackIcon": true, "variableReplacements": [], "allowFractions": false, "type": "numberentry", "unitTests": [], "extendBaseMarkingAlgorithm": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "customMarkingAlgorithm": "", "scripts": {}, "variableReplacementStrategy": "originalfirst"}, {"maxValue": "{y}", "marks": 1, "mustBeReduced": false, "mustBeReducedPC": 0, "correctAnswerStyle": "plain", "showCorrectAnswer": true, "minValue": "{y}", "showFeedbackIcon": true, "variableReplacements": [], "allowFractions": false, "type": "numberentry", "unitTests": [], "extendBaseMarkingAlgorithm": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "customMarkingAlgorithm": "", "scripts": {}, "variableReplacementStrategy": "originalfirst"}, {"maxValue": "{b}", "marks": 1, "mustBeReduced": false, "mustBeReducedPC": 0, "correctAnswerStyle": "plain", "showCorrectAnswer": true, "minValue": "{b}", "showFeedbackIcon": true, "variableReplacements": [], "allowFractions": false, "type": "numberentry", "unitTests": [], "extendBaseMarkingAlgorithm": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "customMarkingAlgorithm": "", "scripts": {}, "variableReplacementStrategy": "originalfirst"}], "variableReplacements": [], "customMarkingAlgorithm": "", "type": "gapfill", "unitTests": [], "extendBaseMarkingAlgorithm": true, "prompt": "<p>$a=\\var{a}$ and $c = \\var{c}$. Calculate the other quantities.</p>\n<p>$x = $ [[0]]</p>\n<p>$y =$ [[1]]</p>\n<p>$b = $ [[2]]</p>\n<p></p>\n<p>Give your angles in degrees and give all answers to 3 s.f.</p>", "marks": 0, "scripts": {}}], "variablesTest": {"maxRuns": 100, "condition": ""}, "tags": [], "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>", "functions": {}, "ungrouped_variables": ["c", "a", "x", "y", "b"], "statement": "<p style=\"text-align: left;\">This is a calculator question</p>\n<p style=\"text-align: center;\"><img src=\"resources/question-resources/triangle_6nKlln9.png\"/></p>", "variables": {"a": {"templateType": "anything", "definition": "round(1.4*c)-random(3..6)", "group": "Ungrouped variables", "description": "", "name": "a"}, "y": {"templateType": "anything", "definition": "90-x", "group": "Ungrouped variables", "description": "", "name": "y"}, "c": {"templateType": "anything", "definition": "random(20..45)", "group": "Ungrouped variables", "description": "", "name": "c"}, "b": {"templateType": "anything", "definition": "siground(sqrt(a^2-c^2),3)\n", "group": "Ungrouped variables", "description": "", "name": "b"}, "x": {"templateType": "anything", "definition": "siground(arccos(c/a)/pi*180,3)", "group": "Ungrouped variables", "description": "", "name": "x"}}, "name": "Trigonometry: Right-angled triangle II. Version 6", "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Finding unknown sides/angles in right-angled triangles.</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>"}, "rulesets": {}, "type": "question", "contributors": [{"name": "Clare Lundon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/492/"}, {"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}]}]}], "contributors": [{"name": "Clare Lundon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/492/"}, {"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}]}