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The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of 14,554 feet on a differentmountain, the straight-line distance to the peak of Mountain A is 27.1243 miles and the peak's angle of elevation is θ-518000.(a) Approximate the height (in feet) of Mountain A.(b) In the actual measurement, Mountain A was over 100 mi away and the curvature of Earth had to be taken into account.Would the curvature of Earth make the peak appear taller or shorter than it actually is?27.1243 mi4,554 ft(a) The height of Mountain A is approximately feet.(Do not round until the final answer. Then round to the nearest foot as needed.)Enter your answer in the answer box and then click Check Answer.Check AnswerClear Allpartremaining23456

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The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of 14,554 feet on a different
mountain, the straight-line distance to the peak of Mountain A is 27.1243 miles and the peak's angle of elevation is θ-518000.
(a) Approximate the height (in feet) of Mountain A.
(b) In the actual measurement, Mountain A was over 100 mi away and the curvature of Earth had to be taken into account.
Would the curvature of Earth make the peak appear taller or shorter than it actually is?
27.1243 mi
4,554 ft
(a) The height of Mountain A is approximately feet.
(Do not round until the final answer. Then round to the nearest foot as needed.)
Enter your answer in the answer box and then click Check Answer.
Check Answer
Clear All
part
remaining
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The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of 14,554 feet on a different mountain, the straight-line distance to the peak of Mountain A is 27.1243 miles and the peak's angle of elevation is θ-518000. (a) Approximate the height (in feet) of Mountain A. (b) In the actual measurement, Mountain A was over 100 mi away and the curvature of Earth had to be taken into account. Would the curvature of Earth make the peak appear taller or shorter than it actually is? 27.1243 mi 4,554 ft (a) The height of Mountain A is approximately feet. (Do not round until the final answer. Then round to the nearest foot as needed.) Enter your answer in the answer box and then click Check Answer. Check Answer Clear All part remaining 2 3 4 5 6

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Step 1

We have to obtain the altitude of a mountain peak.

The altitude of the nearby mountain is given as 14,554 feet.

The straight line distance to the peak of mountain from this nearby mountain is 27.1243 miles.

Also, the angle of elevation is 5.1800 degree.

 

Step 2

Plot the given data as shown below in Figure.

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Step 3

The angle of inclination is 5.1800 degree.

Use sine function of the angl...

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