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?

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 =

Tan =

cross multiply to have;

   x = 210 × Tan

      = 210 × 1.7321

      = 363.741

The cliff is 363.741 feet high.

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

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the answer is a beach is the best place to be