Question

The angle of elevation from a boat to the top of a lighthouse is 22°. The lighthouse is 32 meters tall.



What is the distance from the boat to the base of the lighthouse?

Enter your answer as a decimal. Round only your final answer to the nearest tenth.

Answer 1

look at this like a right triangle with a height of 32 M and the angle at the base of 22 degrees
 The distance from the boat to the lighthouse would be the base of the triangle

to find the base given the height and angle given the formula is

x = height /  tan(angle)

x = 32 / tan(22)

x = 79.2 Meters