SOLUTION: two observers, 215 ft apart, are directly in line with a hot-air balloon. The angeles of elevation of the balloon are 43 degrees and 57 degrees. How high is the balloon?

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Question 25367: two observers, 215 ft apart, are directly in line with a hot-air balloon. The angeles of elevation of the balloon are 43 degrees and 57 degrees. How high is the balloon?
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
SInce its, 2 degrees and 1 length. You must apply the sin Law to this. You can not use the Cosine law.
Let the unknown be θ

θ/sin42=215/sin57
θ=215sin42/sin57
θ=174

Hence the height of the balloon is 174ft.
Paul.