(a) The height of Mountain A is approximately feet. (Do not round until the final answer. Then round to the nearest foot as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section: Chapter Questions
Problem 11T
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The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of 14,530 feet on a different mountain, the straight-line distance to the peak of Mountain A is 27.6609 miles and
the peak's angle of elevation is 0= 5.6100°.
(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?
14,530 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.)
3
27.6609 mi
Transcribed Image Text:The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of 14,530 feet on a different mountain, the straight-line distance to the peak of Mountain A is 27.6609 miles and the peak's angle of elevation is 0= 5.6100°. (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? 14,530 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.) 3 27.6609 mi
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