A surveyor makes the following measurements from one side of a river. Use them to find the distance from A to B. 40° A 20° 20 m B 50° D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
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A surveyor makes the following measurements from one side of a river. Use them to find the distance from A to B.

**Diagram Explanation:**

The diagram shows a river with four points marked: A, B, C, and D. Points C and D are on one side of the river, while A and B are on the other side. The surveyor takes measurements from points C and D.

- From point C:
  - Angle ACD is 40°
  - Angle ACB is 20°
  
- From point D:
  - Angle BDC is 45°
  - Angle BDA is 50°

The length of line segment CD is given as 20 meters.

Lines AC, AD, BC, and BD are represented as dashed lines, indicating that these distances need to be calculated based on the given angles and measurement. The task is to find the distance AB across the river.
Transcribed Image Text:A surveyor makes the following measurements from one side of a river. Use them to find the distance from A to B. **Diagram Explanation:** The diagram shows a river with four points marked: A, B, C, and D. Points C and D are on one side of the river, while A and B are on the other side. The surveyor takes measurements from points C and D. - From point C: - Angle ACD is 40° - Angle ACB is 20° - From point D: - Angle BDC is 45° - Angle BDA is 50° The length of line segment CD is given as 20 meters. Lines AC, AD, BC, and BD are represented as dashed lines, indicating that these distances need to be calculated based on the given angles and measurement. The task is to find the distance AB across the river.
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