// Numbas version: finer_feedback_settings {"name": "Angle measurement", "metadata": {"description": "A short quiz on some basic angle measurement conventions.", "licence": "None specified"}, "duration": 360, "percentPass": 0, "showQuestionGroupNames": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questions": [{"name": "Convert decimal degrees to DMS notation", "extensions": [], "custom_part_types": [], "resources": [["question-resources/casio_manual2.png", "/srv/numbas/media/question-resources/casio_manual2.png"], ["question-resources/casio_manual3.png", "/srv/numbas/media/question-resources/casio_manual3.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Andrew Chuter", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4565/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Convert the angle measured in decimal degrees to degrees/minutes/seconds (DMS). Answer correct to the nearest second.

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The angle {a}° = [[0]]° [[1]]' [[2]]'' .

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(Using the Casio fx82 AU Plus II)

\n

For example, to convert 2.255° to DMS notation:

\n

Type 2.255, press , then press . The display will show 2°15'18''.

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Convert the angle measured in degrees/minutes/seconds (DMS) to decimal degrees. Answer correct to 4 decimal places.

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The angle {d}° {m}' {s}'' = [[0]]°

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(Using the Casio fx82 AU Plus II)

\n

Follow the equivalent steps in this example:

\n

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In the diagram below, the angle of elevation of the top of a building from a person, and the angle of depression of the person from the building, are shown.

\n

The angle of depression is marked $x$ and the angle of elevation is marked $y$.

\n

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The angle of elevation is {x}°.

\n

Give the angle of depression: [[0]]°.

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In the diagram below, the angle of elevation of the top of a building from a person, and the angle of depression of the person from the building, are shown.

\n

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The angle $\\theta$ shown is {x}°.

\n

The angle of elevation of the top of the building from the person is: [[0]]°.

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Convert the conventional bearing to a true bearing.

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{ns}{cb1}°{ew} = [[0]]°T

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Bearings are a way of indicating directions. Bearings can be given in two ways: conventional bearings and true bearings.

\n

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Convert true bearing to a conventional bearing. In your answer omit the degree symbol, for example N45°E is entered N45E. 

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{tb1}°T = [[0]]

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Bearings are a way of indicating directions. Bearings can be given in two ways: conventional bearings and true bearings.

\n

"}], "gaps": [{"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "answer": "{ns}{cb1}{ew}", "displayAnswer": "{ns}{tb1}{ew}", "matchMode": "regex"}], "sortAnswers": false}], "type": "question"}]}], "navigation": {"allowregen": true, "reverse": true, "browse": true, "allowsteps": true, "showfrontpage": true, "showresultspage": "oncompletion", "onleave": {"action": "none", "message": ""}, "preventleave": true, "startpassword": ""}, "timing": {"allowPause": true, "timeout": {"action": "warn", "message": "

You should be able to finish this quiz by now.

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A short quiz on some basic angle measurement conventions.

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Excellent! Perfect score.

", "threshold": "100"}, {"message": "

Keep practising until you can get all the questions correct.

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