A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 6.7 km apart, to be 37° and 42°, as shown in the figure. 37° NOTE: The picture is NOT drawn to scale. Find the distance of the plane from point A. distance from A = km 6.7 km B Find the elevation of the plane. height= km Enter your answer as a number; your answer should be accurate to 2 decimal places.
A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 6.7 km apart, to be 37° and 42°, as shown in the figure. 37° NOTE: The picture is NOT drawn to scale. Find the distance of the plane from point A. distance from A = km 6.7 km B Find the elevation of the plane. height= km Enter your answer as a number; your answer should be accurate to 2 decimal places.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Transcription for Educational Website:**
A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 6.7 km apart, to be 37° and 42°, as shown in the figure.
*NOTE: The picture is NOT drawn to scale.*
**Tasks:**
1. **Find the distance of the plane from point A.**
- distance from A = [Input Box] km
2. **Find the elevation of the plane.**
- height = [Input Box] km
*Enter your answer as a number; your answer should be accurate to 2 decimal places.*
**Diagram Explanation:**
The diagram shows two lines extending from a point representing the plane to points A and B on the ground, illustrating the angles of depression to each point. The horizontal distance between points A and B is labeled as 6.7 km. The angles of depression are indicated as 37° from the plane to point A and 42° to point B. The plane is positioned above the line segment AB, depicting the scenario.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf4055fe-2b9b-4a12-892e-9faff400a741%2Fe7711e39-4c56-40bb-b901-169aeb8a5200%2F05wx9u_processed.png&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website:**
A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 6.7 km apart, to be 37° and 42°, as shown in the figure.
*NOTE: The picture is NOT drawn to scale.*
**Tasks:**
1. **Find the distance of the plane from point A.**
- distance from A = [Input Box] km
2. **Find the elevation of the plane.**
- height = [Input Box] km
*Enter your answer as a number; your answer should be accurate to 2 decimal places.*
**Diagram Explanation:**
The diagram shows two lines extending from a point representing the plane to points A and B on the ground, illustrating the angles of depression to each point. The horizontal distance between points A and B is labeled as 6.7 km. The angles of depression are indicated as 37° from the plane to point A and 42° to point B. The plane is positioned above the line segment AB, depicting the scenario.
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