Question

In APQR, p = 690 cm, a = 290 cm and r=450 cm. Find the measure of ZQ to the

nearest 10th of a degree.

Answer 1

9514 1404 393

Answer:

16.8°

Explanation:

The Law of Cosines can be rearranged to give the angle measure.

angle Q = arccos((p² +r² -q²)/(2pr))

angle Q = arccos((690² +450² -290²)/(2×690×450))

angle Q = arccos(594500/621000) ≈ 16.7985°

The measure of angle Q is about 16.8°.