Anonymous

# 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°.

### 1 Answer

Relevance

- 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

and so

height h = d*sin75º = 806 m

- Log in to reply to the answers

Still have questions? Get answers by asking now.