// Numbas version: exam_results_page_options {"name": "Geometry. 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": [{"variable_groups": [], "advice": "
\n
• You need to use Pythagorus and/or SOH CAH TOA. See 1.4, 1.5, 2.4 and 2.5 for background and examples.
• \n
• Remember to only round your answers at the end, not in the middle of calculations.
• \n
", "name": "Geometry. Right-angled triangle II. Version 6", "tags": [], "statement": "

This is a calculator question. You will need to use Pythagorus Theorem and SOH CAH TOA. Google these if you need a recap.

\n

", "preamble": {"js": "", "css": ""}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "

Finding unknown sides/angles in right-angled triangles.

\n

Version 1: b,c known

\n

Version 2: a,x known

\n

Version 3: a,y known

\n

Version 4: b,x known

\n

Version 5: b,a known

\n

Version 6: c,a known

"}, "functions": {}, "ungrouped_variables": ["c", "a", "x", "y", "b"], "variablesTest": {"maxRuns": 100, "condition": ""}, "parts": [{"unitTests": [], "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "type": "gapfill", "showCorrectAnswer": true, "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "sortAnswers": false, "customMarkingAlgorithm": "", "scripts": {}, "prompt": "

\$a=\\var{a}\$ and \$c = \\var{c}\$. Calculate the other quantities.

\n

\$x = \$ [[0]]

\n

\$y =\$ [[1]]

\n

\$b = \$ [[2]]

\n

\n

Give your angles in degrees and give all answers to 3 s.f.

", "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": "{b}", "minValue": "{b}", "customMarkingAlgorithm": "", "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "mustBeReducedPC": 0, "marks": 1, "mustBeReduced": false}]}], "extensions": [], "rulesets": {}, "variables": {"x": {"definition": "siground(arccos(c/a)/pi*180,3)", "description": "", "name": "x", "templateType": "anything", "group": "Ungrouped variables"}, "y": {"definition": "90-x", "description": "", "name": "y", "templateType": "anything", "group": "Ungrouped variables"}, "c": {"definition": "random(20..45)", "description": "", "name": "c", "templateType": "anything", "group": "Ungrouped variables"}, "b": {"definition": "siground(sqrt(a^2-c^2),3)\n", "description": "", "name": "b", "templateType": "anything", "group": "Ungrouped variables"}, "a": {"definition": "round(1.4*c)-random(3..6)", "description": "", "name": "a", "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/"}]}