Elementary Surveying, Global Edition
Elementary Surveying, Global Edition
14th Edition
ISBN: 9781292060491
Author: Charles D. Ghilani, Paul Wolf
Publisher: PEARSON
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Chapter 11, Problem 11.1P
To determine

The azimuth, bearing and length of the line connecting station shore and station rock.

Expert Solution & Answer
Check Mark

Answer to Problem 11.1P

The azimuth of the line is  20°50'2.14''

The bearing of the line is

   N 20°50'2.14'' E

The length of the line 164.8 meters

Explanation of Solution

Given Information:

The coordinates of the stations in meters are:

Shore (379.241, 819.457)

Rock (437.854, 973.482)

The length of the line connecting the two station is

   L=( X rock X shore)2+( Y rock Y shore)2L=(437.854379.241)2+(973.482819.457)2=164.8 meters

The azimuth of the line is

   AZ=tan1(ΔXΔY)+CAZ=tan1((437.854379.241)(973.482819.457))+CAZ=tan1(58.61154.025)+0=0.363178 = 20°50'2.14''

The bearing of the line is

   N 20°50'2.14'' E

Conclusion:

The azimuth of the line is  20°50'2.14''

The bearing of the line is

   N 20°50'2.14'' E

The length of the line 164.8 meters

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