A 30-ft pole casts a shadow as shown in the figure. 30 ft (a) Express the angle of elevation 0 of the sun as a function of the length s of the shadow. (b) Find the angle 0 of elevation of the sun when the shadow is 35 ft long. (Round your answer to one decimal place.)

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A 30-ft pole casts a shadow as shown in the figure.
30 ft
(a) Express the angle of elevation 0 of the sun as a function of the length s of the shadow.
(b) Find the angle 0 of elevation of the sun when the shadow is 35 ft long. (Round your answer to one decimal place.)
An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highway, both on one side of the plane. If the angle of depression to one car is 38° and that
to the other is 53°, how far apart are the cars? (Round your answer to the nearest foot.)
ft
To estimate the height of a mountain above a level plain, the angle of elevation to the top of the mountain is measured to be 32°. One thousand feet closer to the mountain along the plain, it is found that the
angle of clevation is 36°. Estimate the height of the mountain. (Round your answer to the nearest foot.)
ft
Transcribed Image Text:A 30-ft pole casts a shadow as shown in the figure. 30 ft (a) Express the angle of elevation 0 of the sun as a function of the length s of the shadow. (b) Find the angle 0 of elevation of the sun when the shadow is 35 ft long. (Round your answer to one decimal place.) An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highway, both on one side of the plane. If the angle of depression to one car is 38° and that to the other is 53°, how far apart are the cars? (Round your answer to the nearest foot.) ft To estimate the height of a mountain above a level plain, the angle of elevation to the top of the mountain is measured to be 32°. One thousand feet closer to the mountain along the plain, it is found that the angle of clevation is 36°. Estimate the height of the mountain. (Round your answer to the nearest foot.) ft
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