Question

When a hockey player is 35 feet from the goal line, he shoots the puck directly at the goal. The angle of elevation at which the puck leaves the ice is 7 degrees. The height of the goal is 4 feet. Will the player score a goal?

Answer 1

Yes, since 3.92feet < 4 feet.

Explanation:

Consider the diagram below, the Player is at A and the Goal Post is BC.

To determine if the player will score the goal, we find the height BC of the puck at the goal post and make comparisons.

Tan Θ= Opposite/Adjacent

Tan 7°= BC/32

BC= 32 X Tan 7°

= 3.92 feet

Since the height of the ball is less than the height of the goal, the player will score.