A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 3 mi apart, to be Lx = 29° and Ly = 51°, 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.
A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 3 mi apart, to be Lx = 29° and Ly = 51°, 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
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![A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 3 miles apart, to be ∠x = 29° and ∠y = 51°, as shown in the figure. (Round your answers to two decimal places.)
![Image: A diagram showing a plane flying over a highway with two ground points labeled A and B, and angles of depression labeled from the plane to points A and B, respectively.]
(a) Find the distance of the plane from point A.
\[ \_\_\_\_ \text{ mi} \]
(b) Find the elevation of the plane.
\[ \_\_\_\_ \text{ mi} \]
**Diagram Explanation:**
- The diagram includes an airplane in the sky and a straight highway below.
- Two lines extend from the airplane to points A and B on the highway, forming angles of depression with horizontal lines parallel to the plane's flight path.
- The distance between points A and B on the highway is given as 3 miles.
- Angle ∠x (from the plane to point A) is 29°, and angle ∠y (from the plane to point B) is 51°.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa75dba04-cdd6-4e23-af6e-bff0ba894300%2F6bf4a62e-6abe-4f7d-8e02-462cbf52e742%2F333e4eg_processed.png&w=3840&q=75)
Transcribed Image Text:A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 3 miles apart, to be ∠x = 29° and ∠y = 51°, as shown in the figure. (Round your answers to two decimal places.)
![Image: A diagram showing a plane flying over a highway with two ground points labeled A and B, and angles of depression labeled from the plane to points A and B, respectively.]
(a) Find the distance of the plane from point A.
\[ \_\_\_\_ \text{ mi} \]
(b) Find the elevation of the plane.
\[ \_\_\_\_ \text{ mi} \]
**Diagram Explanation:**
- The diagram includes an airplane in the sky and a straight highway below.
- Two lines extend from the airplane to points A and B on the highway, forming angles of depression with horizontal lines parallel to the plane's flight path.
- The distance between points A and B on the highway is given as 3 miles.
- Angle ∠x (from the plane to point A) is 29°, and angle ∠y (from the plane to point B) is 51°.
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