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
