Question 938579
Tangent is the opposite side over the adjacent side.  In this case, the side adjacent to the 30 degree angle is 200 feet, the side opposite is height of the balloon, and the angle is the elevation or 30 degrees. So:

tan(30)=height/200

Solving for height:

height=200tan(30)

tan(30 degrees)=0.5774 (approx) so:
 
height=(200 ft) x (0.5774)= 115.48 feet