Question

1. If the angle of elevation from a kicker's foot on the football field to the top of the goal post bars is 170, and he is standing 131 feet from the base of the goal post, how tall is the goal post?

Answer 1

Formulating an equation with a trigonometric ratio we have:

tan(17)=opposite/adjacent

tan(17)=x / 131 (Replacing the values)

tan(17)*131 = x (Multiplying on both sides by 131)

40.05 = x (Multiplying)

The answer is 40.05 ft.