Question

The angle of elevation from a kicker's foot on the football field to the top of the goal post is 17 degrees. If he is standing 131 feet from the base of the goal post, how tall is the goal post?​

Answer 1

The goal post is 40.05 feet tall.

Explanation:First, you need to decide whether to use sin, tan or cos.

You have the angle, the adjacent and need the opposite , so you need to find out which one has all three values in

Sin

Cos

Tan

So you need to use tan.

Tan = opposite / adjacent, so rearrange the formula to make opposite the subject:

[tex]Opp = Tan * adj

So simply plug these values in:

[tex]Opp =131 * tan(17) = 40.05

So the goal post is 40.05 feet tall