on a different​ mountain, the​ straight-line distance to the peak of Mountain A is 27.4469 miles and the​ peak's angle of elevation is θ=5.2600°. ​(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?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of 14,548 feet on a different​ mountain, the​ straight-line distance to the peak of Mountain A is 27.4469 miles and the​ peak's angle of elevation is θ=5.2600°.
​(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?
The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of 14,548 feet on a different mountain, the straight-line distance to the peak of Mountain A is 27.4469 miles and
the peak's angle of elevation is 0 = 5.2600°.
(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
27.4469 mi
is?
14,548 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 14,548 feet on a different mountain, the straight-line distance to the peak of Mountain A is 27.4469 miles and the peak's angle of elevation is 0 = 5.2600°. (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 27.4469 mi is? 14,548 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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