From the top of a lighthouse 210 feet high, the angle created by the line of sight to a boat is 27°. find the distance of the boat to the light house.

It is 107 feet from the light house to the boat.

This is a trigonometry problem. You must draw a triangle with the lighthouse and the boat. You are given the lighthouse height and the angle to the boat.

Using this information, you can set up a tangent ratio:

tan(27) = x/210

Solving this will give you:

0.5095 = x/210
107 = x