A weather balloon is directly west of two observing stations that are 10 miles apart. The angles of elevation of the balloon from the two stations are 17.6 degrees and 78.2 degrees. How high is the balloon?

Answer 1

Tan78.2=h/x. h=x(tan78.2)
Tan17.6=h/(x+10). h=(x+10)(tan17.6)

Need to solve for x and then go back for your height.