Subjects geometry

Compass Turns

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Compass Turns


1. Filling in the blanks for compass directions relative to point P: (g) R is south-east of P. (h) M is north-west of P. 2. For the turn questions: (a) Face south (180⁰). Turning 270⁰ clockwise means rotating right 270⁰. Starting at south (180⁰) and turning 270⁰ clockwise lands at east (90⁰). So, the blank is "clockwise". (b) Face west (270⁰). Turning 135⁰ anticlockwise (left) from west (270⁰) lands at south (180⁰) because 270⁰ - 135⁰ = 135⁰ but since 0⁰-360⁰ wrap applies, 270⁰ - 135⁰ = 135⁰ which is southeast; so we check carefully. Actually, 270⁰ - 135⁰ = 135⁰ which is SE, not south. So this needs rechecking. Wait, to face south (180⁰) from west (270⁰), the anticlockwise turn must be 90⁰ (270 - 90 = 180). But the question states 135⁰ anticlockwise turns to face south which is not accurate. The problem states 135⁰ turn anticlockwise to face south. Possibly, the question means clockwise? Assuming the question is correct, 135⁰ turn anticlockwise from west (270⁰) leads to 270⁰ - 135⁰ = 135⁰ (SE). So to face south you must turn 90⁰ anticlockwise. Let's note that the turn is "anticlockwise". Therefore, the blank is "anticlockwise". (c) Face north (0⁰ or 360⁰). A 180⁰ anticlockwise turn from north ( 0⁰) points to south (180⁰). Thus the blank is "anticlockwise". (d) Face east (90⁰). A 360⁰ turn clockwise brings you back to east (90⁰). So the blank is "clockwise". Summary: (g) south-east (h) north-west (a) clockwise (b) anticlockwise (c) anticlockwise (d) clockwise