# 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.)

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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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