Find the height h of the cloud cover, correct to the nearest meter.?
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 at a distance D = 590 m away measures the angle of elevation to the spot of light to be 45°.
- Anonymous1 month ago
590 m away from what, the worker?
Draw triangle; three internal angles are 45º, 180-75= 105º, and so 30º for the top angle.
law of sines:
sin30º / 590 = sin45º / d
where d = length of light ray = 834 m
height h = d*sin75º = 806 m