Question

$\text{In a badly maintained field book, following observations were found:}$

$\text{Bearing of line AB with true north}={123}^{\circ }$
$\text{Acute angle}ABC={82}^{\circ }$
$\text{When extended line BC is rotated by an angle of}{30}^{\circ }\text{(clockwise), it meets the line CD.}$
$\text{If the bearing of line DC with true North is more than}{180}^{\circ }\text{, then its bearing value (in degrees) is}$

• A. 305
• B. None of these
• C. 235
• D. 55

Answer 1

The correct option is C 235


$\angle CB{B}^{\prime }={180}^{\circ }-{82}^{\circ }={98}^{\circ }$

$\text{Bearing of line BC with True North}$$={123}^{\circ }-{98}^{\circ }={25}^{\circ }$

$\text{Bearing of line CD with True North}$$={25}^{\circ }+{30}^{\circ }={55}^{\circ }$

$\text{Bearing of line DC with True North}$$={180}^{\circ }+{55}^{\circ }={235}^{\circ }$