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.)
1 answer:
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.
.. 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.
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Answer:
Step-by-step explanation:
The formula of an area of a rectangle:
<em>l</em><em> - length</em>
<em>w</em><em> - width</em>
We have
Substitute:
Use FOIL <em>(a + b)(c + d) = ac + ad + bc + bd</em>
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combine like terms