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trigonometry

An aircraft at C is spotted by two observers at A and B who are L=1650 feet apart. As the airplane passes over the line joining them, each observer takes a sighting of the angle of elevation to the plane, as indicated in the figure. If a=35 degrees and B=25 degrees, how high is the airplane?

All i have is that 180-35-25=120 degrees im lost now

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  1. Drop the altitude from C to P, with height h

    AP = h cot35
    PB = h cot25

    AP+PB = 1650

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  2. the elevation of the airplane is approx how many feet? do not round till the final answer then round to two decimal places as needed.

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  3. well, geez. I gave you the information:

    h(cot35+cot25) = 1650

    Now just solve for h!

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