Question

In ΔPQR, the measure of ∠R=90°, QR = 8 feet, and RP = 3.9 feet. Find the measure of ∠P to the nearest degree.

Answer 1

64°

Explanation:

Check the attachment for the diagram. Since the triangle has one of its angle as 90°, it is a right angled triangle.

Using the SOH CAH TOA trigonometry ratios:

Since ∠P is opposite to side QR,

QR = opposite side = 8ft

RP = adjacent side = 3.9ft

According to TOA

Tan∠P = Opposite/Adjacent = QR/RP

Tan∠P = 8/3.9

Tan∠P = 2.05

∠P = arctan 2.051

∠P = 64°