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

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°