The angle of depression from a lighthouse to a boat in the water is 14° if the boat is 532 feet from the base of the light house what is the height of the lighthouse?

To solve this exercise, you must follow the proccedure below:

1. You have:

Tan (α) = Opposite/Adjacent

α is the angle of depression (α=14°).

Adjacent=532 feet

Opposite=x

2. When you substitute these values into Tan (α) = Opposite/Adjacent, you obtain:

Tan (α) = Opposite/Adjacent

Tan (14°) = x/532

3. Now, you must clear "x", as below:

x = (532) (Tan (14°))

x=132.64 feet

What is the height of the lighthouse?

The answer is: The height of the house is 132.64 feet