Question

Three observation towers P, Q, and R are such that P is 3 km on a bearing of 090° from Q. R is 9 km due south of P. Find the bearing of R from Q.

A) 0°

B) 45°

C) 90°

D) 180°

Answer 1

The bearing of R from Q is due south because P is east of Q and R is directly south of P. In bearing terms, due south is represented as 180°. Hence, the answer is 180°, or option D.

Step-by-step explanation:

To find the bearing of R from Q, we need to visualize or sketch the scenario described. Tower P is east of Q, and R is directly south of P. To get the bearing from Q to R, we envision the scenario on a compass. Since P is east of Q, going 3 km south from P means R is directly on the vertical, southward line from P. Because bearings are measured clockwise from north, and Q to R involves moving south and then east, we arrive at a south-east direction from Q to R. However, because R is directly south of P, the bearing must reflect only the southward direction from Q to R.

The correct bearing of R from Q is due south of Q. As a bearing, due south is represented by 180°. Therefore, the correct answer from the choices given is:

• D) 180°