An engineer on the ground is looking at the top of a building. The angle of elevation to the top of the building is 22°. The eng

Question

2 years ago

7

An engineer on the ground is looking at the top of a building. The angle of elevation to the top of the building is 22°. The eng

ineer knows the building is 450 ft tall. What is the distance from the engineer to the base of the building to the nearest whole foot?

Mathematics

1 answer:

Pavlova-9 [17] · Answer 1 · 2022-02-08T15:00:27+03:00

Pavlova-9 [17]2 years ago

5 0

Let the distance from the engineer to the base of the building be x, then
tan 22 = 450/x
x = 450/tan 22 = 1,113.79

Therefore the distance from the engineer to the base of the building to the nearest foot = 1,114 feet