Question

Diana works in a building that is 130 feet tall. She is outside, looking up at the building at an angle of 37° from her feet to the top of the building.

Answer 1

172.5 feet to the nearest tenth.

Explanation:

I guess you need the distance between Diana and the bottom of the building.

tan 37 = 130 / d where d is this distance

d * tan 37 = 130

d = 130 / rtan 37

= 172.5158 feet

Answer 2

Let x be her initial distance from the building, then tan 37 = 130/x

x = 130/ tan 37 = 130/0.7536 = 172.5 feet

Let y be her distance from the building after moving forward, then

tan 40 = 130/y

y = 130/tan 40 = 130/0.8391 = 154.9

After moving forward, she is 172.5 - 154.9 = 17.6 ft closer.