Question

The angle of elevation to the top of a Building in New York is found to be 9 degrees from the ground at a distance of 0.75 miles from the base of the building. Using this information, find the height of the building in feet.

Answer 1

625.68feet

Explanation:

From trigonometry

Tan(θ)= opposite/adjacent

Then from the ATTACHMENT,

opposite= x

Adjacent=0.75

(θ)=9°

Tan(9°)=x/0.75

x=Tan(9°) ×0.75

x= 0.158×0.75

=0.1185miles

find the height of the building in feet?

1 miles= 5280 feet

0.1185miles=xfeet

Cross multiply, we have

X= 5280 × 0.1185

X=625.68feet

Hence,the height of the building in feet is 625.68feet