Question

A 225 m lighthouse stands on a 55 m cliff. If a boat is 75 m from the base of the cliff, what is the angle of elevation to the top of the lighthouse, correct to one decimal place?

Answer 1

Angle of elevation = 78.88 (Approx)

Explanation:

Given:

Height of lighthouse = 225 m

Height of cliff = 55 m

Base distance = 75 m

Find:

Angle of elevation

Computation:

Total height = 225 + 55

Total height = 280 m

Tan θ = Total height / Base distance

Tan θ = 280 / 75

Tan θ = 5.09090909

θ = 78.88 (Approx)

Angle of elevation = 78.88 (Approx)