Question

In ΔPQR, find the measure of ∡ P. Triangle PQR where angle Q is a right angle. QR measures 33 point 8. PR measures 57 point 6. Measure of angle P is unknown.

Answer 1

That guy was wrong, you don't deserve the 5 stars I was too early, it was 54.1; just took the test.

Answer 2

ΔPQR is a right triangle
∡Q is a right angle.             ⇒⇒⇒ ∡Q = 90°
QR measures 33 point 8   ⇒⇒⇒ QR = 33.8 ⇒ leg of the triangle
PR measures 57 point 6   ⇒⇒⇒ PR = 57.6  ⇒ hypotenuse of the triangle

we can find ∡P using sin function
sin P = QR/PR = 33.8/57.6 = 0.5868
∴ ∡P = $sin^{-1} 0.5868$ ≈ 35.93°