Answer:
∠P = 35.9°
Step-by-step explanation:
We are given,
A right triangle PQR with ∠Q = 90°, QR = 33.8 and PR = 57.6.
Now, as we know,
In a right triangle, the angles can be written in terms of trigonometric functions.
So, we have, \(\sin P=\frac{Perpendicular}{Hypotenuse}\)
We have that, QR is the perpendicular side and PR is the hypotenuse.
Thus,
\(\sin P=\frac{33.8}{57.6}\)
i.e. \(\sin P=0.5868\)
i.e. \(P=\arcsin 0.5868\)
i.e. \(P=35.9\)
Thus, the measure of ∠P is 35.9°.
