Question

In ΔOPQ, the measure of ∠Q=90°, OQ = 20, PO = 29, and QP = 21. What is the value of the sine of ∠P to the nearest hundredth?

Answer 1

0.69

Explanation:

The mnemonic SOH CAH TOA reminds you that the sine is the ratio ...

Sin = Opposite/Hypotenuse

For angle P, the opposite side is OQ. The hypotenuse is the longest side, PO. So, the sine is ...

sin(P) = OQ/PO = 20/29

sin(P) ≈ 0.69