Question

In ΔOPQ, the measure of ∠Q=90°, OQ = 39, QP = 80, and PO = 89. What ratio represents the cosine of ∠P?

Answer 1

The cosine of angle P in triangle OPQ is QP/OP, which is equal to 80/89.

Step-by-step explanation:

The cosine of angle P in triangle OPQ can be found using the adjacent side and the hypotenuse. In this case, the adjacent side is QP and the hypotenuse is OP.

The formula for cosine is cos(angle) = adjacent/hypotenuse. Therefore, the cosine of angle P is cos(P) = QP/OP.

Substituting the given values, we get cos(P) = 80/89.