UPSC Civil Service Exam Questions - Engineering

Q1:

The coordinates of two end-points A and B traverse line AB are XA = 1000.00 m, YA = 1000.00 m XB = 2000.00 m, YB = 1000.00 m The bearing of the line AB will be

A 0°0'00"

B 60°0'00"

C 90°0'00"

D 180°0'00"

ANS:C - 90°0'00"

We have the formula to find out the angle by use of coordinate.

Bearing of line AB=tan-1 (Xb-Xa/Yb-ya).
= tan-1
(2000-1000/1000-1000)
= tan-1(1000/0).
= tan-1(infinity Or not define).

Now by use of trigonometric table find the angle which tan value should be infinity or not define
So the value is 90°.

ANS = 90°.