Physics Problem. I must find the horizontal distance x between the 2 baloons.

[afcwestwarrior]

Homework Statement

The two hot-air baloons in the drawing are 48.2(Left) and 61.0(right) m above the ground. A person in the left baloon observes that the right baloon is 13.3 degrees above the horizontal. What is the Horizontal distance x between baloon the two baloons

Left Air Baloon= 48.2 meters
Right Air Baloon= 61.0 meters
The angle above the horizontal is 13.3 degrees

Homework Equations

Definition of Sin, Cos, and Tan, and the inverse trigonometric functions. I'm not sure on the equation I should use.

The Attempt at a Solution

I'm not sure on where I should start.

 

[afcwestwarrior]

Here is what I did. I added 48.2 meters and 61.0 meters and then I divided them by 2 and I got 54.6 meters.

 

[afcwestwarrior]

Ok this problem was actually simple because all I had to do was subtract 61.0-48.2=12.8, and I found out the height of the opposite side. Then I used the definition of Tan and I divided 12.8/tan(13.3)=54.1 meters, and that's how far the distance x was.