Question

In ΔOPQ, the measure of ∠Q=90°, PO = 17, QP = 8, and OQ = 15. What ratio represents the tangent of ∠P?

Answer 1

1.875

Step-by-step explanation:

Step 1 :

Given,

In ΔOPQ,

∠Q=90°,

PO = 17,  QP = 8 OQ = 15

Step 2:

We know that the hypotenuse will be the largest side of a triangle.

So in the given triangle PO = 17 is the hypotenuse.

With respect to angle P, OQ represents the opposite side of angle P  and PQ will be the adjacent side.

Also the tangent of any angle in a triangle can be determined by dividing the opposite side of the angle by the adjacent side.

Step 3 :

So using the above we have,

tangent of angle P = opposite side /adjacent side = 15/8 = 1.875