Hello, jul07010!

I agree with u2_wa: we don't need the Law of Sines . . .

A point on the ground is 200 feet from a water tower.

The angle of elevation to the top of the tower is 18°.

The angle of elevation to the bottom of the tower is 15°.

How tall is the water tower?

(i think the water tower is on a hill?) yes! Code:

B *
| *
| *
h | *
| *
| *
C * *
| * *
| * *
y | 200 * 3° *
| * *
| 15° * *
D * - - - - - - - - - - - * A
x

The height of the tower is:

Let

is the ground:

In right triangle

In right triangle .[3]

Substitute [1] and [2] into [3]: .

Therefore: . ft.