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.