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, [tex]\sin P=\frac{Perpendicular}{Hypotenuse}[/tex]
We have that, QR is the perpendicular side and PR is the hypotenuse.
Thus,
[tex]\sin P=\frac{33.8}{57.6}[/tex]
i.e. [tex]\sin P=0.5868[/tex]
i.e. [tex]P=\arcsin 0.5868[/tex]
i.e. [tex]P=35.9[/tex]
Thus, the measure of ∠P is 35.9°.
