Hello, salahu!

From a coastal lookout point A, 80m above sea level,

a man sights two boats B and C in the same direction.

he angles of depression of the two boats are 13° and 24°. respectively.

Find the distances of B and C from the point below A

and so find find the distance between the boats. Code:

A * - - - - - - - - - - - - - - E
| * * 13°
| * *
80 | * *
| * *
| 24° * 13° *
* - - - - - - - - * - - - - - - - - *
D x C y B

Let

In right triangle .**[1]**

In right triangle .**[2]**

Substitute [1] into [2]: .

Therefore: . m.