Geometry SOS!

Question

Matt wants to measure the height of a tree. He walks exactly 100 feet from the base of the tree and looks up. The angle from his eyes to the top of the tree is 35°. If his eye level is 5feet from the ground, what is the height of the tree?

The tree is approximately __________ feet tall.

Enter your answer as the number that correctly fills in the blank in the previous sentence. If necessary, round your answer to two decimal places, like this: 42.53

Answer 1

Make a drawing!

100 tan 35° is the height of the tree above eye level.

Therefore, the height of the tree is 5 + 100 tan 35°.

I will leave it to you to look up the value of the tan.