Question

The angle of elevation from a sailboat in a lake to the top of a vertical cliff is 60∘60∘. The sailboat is 210 feet from the foot of the cliff. How high is the cliff?

Answer 1

Answer:

363.741 feet

Step-by-step explanation:

Let the height of the cliff be represented by x. Applying the appropriate trigonometric function, we have;

Tan θ = $\frac{opposite side}{adjacent side}$

Tan $60^{0}$ = $\frac{x}{210}$

cross multiply to have;

   x = 210 × Tan $60^{0}$

      = 210 × 1.7321

      = 363.741

The cliff is 363.741 feet high.