The two drifts shown in figure below are to be connected. Find the distance, the bearing of the centre line, the angle right at each end, and the grade of the connection. The elevations refer to the track as shown in figure 249 O 250 S 75° W 261 N 7900 260 0 N 80º E E 10700 Elev. 4500m N 6700 E 8500 Elev. 3700m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The two drifts shown in figure below are to be connected. Find the distance, the
bearing of the centre line, the angle right at each end, and the grade of the connection.
The elevations refer to the track as shown in figure
249 O
250
S 75° W
261
N 7900
260 0
N 80º E
E 10700
Elev. 4500m
N 6700
E 8500
Elev. 3700m
Transcribed Image Text:The two drifts shown in figure below are to be connected. Find the distance, the bearing of the centre line, the angle right at each end, and the grade of the connection. The elevations refer to the track as shown in figure 249 O 250 S 75° W 261 N 7900 260 0 N 80º E E 10700 Elev. 4500m N 6700 E 8500 Elev. 3700m
Expert Solution
Step 1:The given data is:

The given data is:

E1=8500

E2=10700

N1=6700

N2=7900

 

 

 

 

Step 2:Calculating the bearing line 261-250 will be:

Calculating the bearing line 261-250 will be:

θ=tan-1E2-E1N2-N1θ=tan-110700-85007900-6700θ=61.4 °

 

Calculating the distance:

 

Distance=E2-E12+N2-N12                           =10700-85002+7900-67002            =2505.993 m

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