We know that
• The angle of elevation is 25 degrees.
,
• The ship is 1500 meters from the lighthouse.
Let's make a diagram to visualize the problem.
Where x represents the height of the lighthouse. Let's use a trigonometric reason to find x.
In this case, it's convenient to use the tangent reason.

The opposite leg is x, the adjacent leg is 1500, and the angle is 25.

To solve for x let's multiply each side by 1500.

Therefore, the lighthouse is 699.5 meters tall.