Question

In ΔPQR, the measure of ∠R=90°, RP = 61 feet, and PQ = 89 feet. Find the measure of ∠P to the nearest degree.

Answer 1

47 degrees

Explanation:

Answer 2

47°

Explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

Cos = Adjacent/Hypotenuse

The side adjacent to ∠P is the one with P in its name: RP. The hypotenuse is the side opposite the right angle, the side without the right-angle vertex in its name: PQ. So, ...

cos(∠P) = RP/PQ = 61/89

∠P = arccos(61/89) ≈ 46.733°

∠P ≈ 47°