PLzzZZHELPPPP The angle between the top of a building and a point 80 feet away from the base (on level ground) is 70° . To the nearest foot, how tall is the building?

Question

asked Nov 9, 2022 53.7k views

1 Answer

Nihal Saxena · Answer 1 · 2022-11-15T13:30:25+0000

Answer:

220ft tall

Explanation:

From the question we are given the following:

Adjacent side of the triangle = 80feet

Angle of elevation = 70°

Required

Height of the building (Opposite)

Using the SOH CAH TOA identity:

tan theta = opp/adj

tan 70 = H/80

H = 80tan70

H = 80(2.7474)

H = 219.79ft

Hence the building is 220ft tall