Hello, victorfk06!

A lighthouse keeper 120 feet above the water sees a boat

sailing in a straight line directly toward her.

As she watches, the angle of depression to the boat changes from 28° to 43°.

How far has the boat traveled during this time? Code:

A * - - - - - - - - - - -
| * 28°
| 62° *
| *
120 | *
| *
| *
| *
| *
* - - - -*- - - - - - - - - *
B y C x D

In right triangle .**[1]**

Code:

A * - - - - - -
|* 43°
| *
| *
120 |47°*
| *
| *
| *
| *
* - - - -*
B y C

In right triangle .**[2]**

Substitute [2] into [1]: .

. . Therefore, the boat traveled about 97 feet.