9.A surveyor wants to find the distance across a swamp – see the figure.The bearing from A to B is N 32° W. The surveyor walks 50 metersfrom A, and at point C the bearing to B is N 68° W. Find:a) the bearing from A to Cb) the distance from A to Byou cannot use the Law of Sines or Law of Cosines ****N50 m

Answered: A surveyor wants to find the distance…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

9.
A surveyor wants to find the distance across a swamp – see the figure.
The bearing from A to B is N 32° W. The surveyor walks 50 meters
from A, and at point C the bearing to B is N 68° W. Find:
a) the bearing from A to C
b) the distance from A to B
you cannot use the Law of Sines or Law of Cosines **
**
N
50 m

Expert Solution

Step 1

in the bearing the angle measured from the north or south direction is also called as the quadrant bearing

so the angle denotation is N/S angle E/W

as the the NW is lies on the 4th quadrant and north earth lies on the 1st quadrant.

point B is west direction form both the point and angle of B from C is more as compare to the A then we can say that the c direction is north east of the point A.

angle between point A and C is 90 degree.

then bearing of line AC $= N (90 - 32) E = N 58 E$

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