Question

The base of a ladder is 12 feet from the bottom of a house. The ladder makes a 70°angle with the ground. (The ground and the house make a right angle.) What is the height of the house to the nearest tenth of a foot ?

Answer 1

6.1 feet

Explanation:

We solve the above question using the trigonometric function of Tangent

tan θ = Opposite/Adjacent

Opposite = Height = x

Adjacent = 12 feet

θ = 27°

Hence,

tan 27 = x/12

x = tan 27 × 12

x = 6.1143053939 feet

Approximately = 6.1 feet

Therefore, the height of the house is 6.1 feet