Preclc

To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an angle 75° from the horizontal. An observer D = 600 m away measures the angle of elevation to the spot of light to be 45°. Find the height h of the cloud cover. (Round your answer to the nearest meter.)
CAN SOMEONE PLEASE HELP THANK YOU

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  1. use the Law of Sines to find the distance from one of the people to the spot

    then use trig to find the height of the spot

    the angle at the spot is
    ... 180º - 75º - 45º = 60º

    600 m / sin(60º) = x / sin(45º)
    ... x is the distance from the observer to the spot

    h = x * sin(45º)

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