Question

Write each true bearing as an equivalent quadrant bearing.
a. 82°
b. 138°

Answer 1

The true bearing of 82° is equivalent to the quadrant bearing N 8° E, and the true bearing of 138° is equivalent to the quadrant bearing S 42° E.

Step-by-step explanation:

To write each true bearing as an equivalent quadrant bearing, we need to convert the angle given in degrees relative to the North (0°) in a clockwise direction to the traditional compass notation that uses the cardinal directions (North, East, South, West) as reference points.

a. The true bearing of 82° is relatively close to the East (90°), leaning towards the North. Hence, the quadrant bearing would be N 8° E, meaning it's 8 degrees towards the East from the North.

b. The true bearing of 138° passes the East (90°) and is heading towards the South. To express this as a quadrant bearing, subtract 138° from 180° to get 42°, which represents how much the direction leans towards the South from the East, resulting in the quadrant bearing S 42° E.