An observatory is 150 feet high. When a person is standing in the observatory looking at an island, the angle of depression is

Question

An observatory is 150 feet high. When a person is standing in the observatory looking at an island, the angle of depression is

. What is the approximate horizontal distance from the observatory to the island?

The picture shows a right-angled triangle. The length of the opposite side is 150 ft. A dotted horizontal line (Observatory) touches the top vertex. The angle of the left vertex (Island) and the outer angle of the top vertex is 25 degrees.

Answer 1

In the given diagram, the angle of depression is the angle between the horizontal line (observatory) and the line of sight to the island. Since the angle of depression is not provided in the question, it is not possible to determine the horizontal distance from the observatory to the island.