The top of a lighthouse is 100 m above sea level. The angle of elevation from the

deck of the sailboat to the top of the lighthouse is 28°. Calculate the distance

between the sailboat and the lighthouse.

188 m

Step-by-step explanation:

The tangent of the angle is the ratio of the side opposite (height of the lighthouse) to the side adjacent (distance to the lighthouse):

tan (28°) = (100 m) / distance

distance = (100 m) / tan (28°) ≈ 188 m

The distance between the sailboat and the lighthouse is about 188 m.