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 = 565 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.)

The geometry of the problem does not seem well-described here. Assuming the spotlight beam and the observation are in the same vertical plane, there are two possibilities for the height:
.. 446 m . . . . . spotlight is aimed toward observer
.. 772 m . . . . . spotlight is aimed away from observer

See the attachment for the geometry. Choose the answer corresponding to the geometry of the problem.