Anonymous asked in Science & MathematicsPhysics · 1 month ago

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

  • Anonymous
    1 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

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