Hello, Jhaycian!

Two observers are 2 miles apart on a horizontal plane.

They observe a balloon in a same vertical plane with themselves.

The angles of elevation are 50 degrees and 65 degrees respectively.

Find the height of the balloon

(a) if it is between the observers.

The observers are at and :Code:C * *| * * | * * |h * * | * *65 | 50 * A *-----*-----------* B : x D 2-x :

The balloon is at ; its height is

Let

In .[1]

In .[2]

Equate [1] and [2]: .

. . . . . . . . . . . . . .

. . . . . . .

. . . . . .

Therefore: .

(b) if it is on the same side of both of them.

This is the diagram for this scenario.

Give it a try . . .Code:* C **| * * | * * | * * |h * * | * * | *50 *65 | A *-------*-------* D : 2 B x :