From the top of a building, the angle of depression to a car on the ground is 52. If the building is 400 ft tall, how far away i

Question

Inessa05 [86]

2 years ago

5

From the top of a building, the angle of depression to a car on the ground is 52. If the building is 400 ft tall, how far away i

s the car from the base of the building

Mathematics

1 answer:

Sladkaya [172] · Answer 1 · 2022-08-11T21:53:11+03:00

Answer:

312.51 ft

Step-by-step explanation:

You would have to do tangent because if you add a triangle it gives you the opposite side length and you are trying to find the adjacent side lengths to the angle. It would look like this:

tan52=400/x

x*tan52=400*x

xtan52=400

xtan52/tan52=400/tan52

x=400/tan52

x=312.51 ft