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The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of 14,570 feet on a different mountain, the straight-line distance to the peak of Mountain A is 27.1378 miles and the peak's angle of elevation is 0-5.9100 (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 Earth make the peak appear taller or shorter than it actually is? (a) The height of Mountain A is approximately feet. (Do not round until the final answer. Then round to the nearest foot as needed.) b) The peak would appear than it actually is. 27.1378 mi

The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of 14,570 feet on a different mountain, the straight-line distance to the peak of Mountain A is 27.1378 miles and the peak's angle of elevation is 0-5.9100 (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 Earth make the peak appear taller or shorter than it actually is? (a) The height of Mountain A is approximately feet. (Do not round until the final answer. Then round to the nearest foot as needed.) b) The peak would appear than it actually is. 27.1378 mi

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section: Chapter Questions
Problem 2T
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The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of 14,570 feet on a different mountain, the straight-line distance to the peak of Mountain A is 27.1378 miles and the peak's angle of elevation is 0= 5.9100°. (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 t be taken into account. Would the curvature of Earth make the peak appear taller or shorter than it actually is? (a) The height - Mountain A is approximately feet. (Do not round until the final answer. Then round to the nearest foot as needed.) (b) The peak would appear than it actually is. (₂) 27.1378 mi 14,570 ft
Transcribed Image Text:The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of 14,570 feet on a different mountain, the straight-line distance to the peak of Mountain A is 27.1378 miles and the peak's angle of elevation is 0= 5.9100°. (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 t be taken into account. Would the curvature of Earth make the peak appear taller or shorter than it actually is? (a) The height - Mountain A is approximately feet. (Do not round until the final answer. Then round to the nearest foot as needed.) (b) The peak would appear than it actually is. (₂) 27.1378 mi 14,570 ft
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