Answer:
47°
Step-by-step 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°
