Assuming the tunnelling machine drills along the shortest distances between the points (a straight line), and not along the coordinate axes, then the total length is the sum of the lengths of the line segments DC, CB and BA.
Given:
A(-18,12), B(-8,1), C(3,4), and D(15,7),
The length of DC can be calculated using pythagoras theorem, namely:
mDC=√((15-3)²+(7-4)²)*2.5m
=√153 * 2.5m
=30.9 m approx.
You can calculate the other two segments in a similar way.
A coordinate grid is used on the plan of a new housing development. fibre optic cable is being laid with a mico-tunnelling machine. the cable will link points with coordinates A(-18,12), B(-8,1), C(3,4), and D(15,7), in a run beginning at D. if one unit on the grid represents 2.5m, how much cable is required?
1 answer
1 answer