Question

Jared is standing on the roof of a 100 meter building doing some surveying. He spots a delivery truck at an angle of depression of 30 degrees. How far is the truck from the base of the building?

Answer 1

1st :The angle of depression 30° = the angle of elevation (from the truck to the height of the building.

2nd :
cos 30° = (adjacent side)/(hypotenuse)
cos 30° = x/100, but cos 30°= (√3)/2

(√3)/2 = x/100 and x = (100√3)/2

and x = (50.√3) = 86.60 m

Answer 2

The truck is 173.20508 meters away because the triangle is a 30 60 90 degree triangle. Therefore you would do. 100(radical)3