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The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of 14,509 feet on a different mountain, the straight-line distance to the peak of Mountain A is 27.4043 miles and the peak's angle of elevation is 0 = 5.6800°. (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? 27.4043 mi 14,509 ft

The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of 14,509 feet on a different mountain, the straight-line distance to the peak of Mountain A is 27.4043 miles and the peak's angle of elevation is 0 = 5.6800°. (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? 27.4043 mi 14,509 ft

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter64: Volumes Of Spheres And Composite Solid Figures
Section: Chapter Questions
Problem 27A
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The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of 14,509 feet on a different mountain, the straight-line distance to the peak of Mountain A is 27.4043 miles and the peak's angle of elevation is 0 = 5.6800°. (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? 27.4043 mi 14,509 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.)
Transcribed Image Text:The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of 14,509 feet on a different mountain, the straight-line distance to the peak of Mountain A is 27.4043 miles and the peak's angle of elevation is 0 = 5.6800°. (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? 27.4043 mi 14,509 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.)
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