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A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 5 mi apart, to be 2x = 28° and 2y = 52°, as shown in the figure. (Round your answers to two decimal places.) (a) Find the distance of the plane from point A. mi (b) Find the elevation of the plane. mi

A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 5 mi apart, to be 2x = 28° and 2y = 52°, as shown in the figure. (Round your answers to two decimal places.) (a) Find the distance of the plane from point A. mi (b) Find the elevation of the plane. mi

Trigonometry (11th Edition)
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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A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 5 miles apart, to be \( \angle x = 28^\circ \) and \( \angle y = 52^\circ \), as shown in the figure. (Round your answers to two decimal places.) **(a)** Find the distance of the plane from point A. \(\_\_\_\_\_\_\_\) mi **(b)** Find the elevation of the plane. \(\_\_\_\_\_\_\_\) mi **Diagram Explanation:** The diagram shows a plane flying over a horizontal straight line (the highway). Two lines of sight from the plane to two points, A and B, on the highway are indicated. The point A is where the line of sight makes an angle of depression \( \angle x = 28^\circ \) and point B is where the angle of depression is \( \angle y = 52^\circ \). The distance between points A and B is 5 miles.
Transcribed Image Text:A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 5 miles apart, to be \( \angle x = 28^\circ \) and \( \angle y = 52^\circ \), as shown in the figure. (Round your answers to two decimal places.) **(a)** Find the distance of the plane from point A. \(\_\_\_\_\_\_\_\) mi **(b)** Find the elevation of the plane. \(\_\_\_\_\_\_\_\) mi **Diagram Explanation:** The diagram shows a plane flying over a horizontal straight line (the highway). Two lines of sight from the plane to two points, A and B, on the highway are indicated. The point A is where the line of sight makes an angle of depression \( \angle x = 28^\circ \) and point B is where the angle of depression is \( \angle y = 52^\circ \). The distance between points A and B is 5 miles.
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