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