what equation do i need to solve this problem

Question

The angles of elevation to a balloon between two points on level ground is 42◦10’ and 23◦50’. The two points are 10.2 miles apart. Find the height of the balloon.

Answer 1

Try the solution suggested in the video then check your work here:

desmos.com/calculator/9q6bhfivar

This also can be solved by using Law of Sines to find the hypotenuse of the larger right triangle, followed by using the sine ratio to find the height of the balloon.

desmos.com/calculator/iykcocqeiw