The bearing of the line OP, OQ, OR, OS , OT are N30°00’E, N87°45’E, S 25°15′ E, S35°25’W and N 40°35′ W find the included angle ∠POQ,∠QOR,∠ROS,∠SOT, and∠ TOP.

The bearing of the line OP, OQ, OR, OS , OT are N30°00’E, N87°45’E, S 25°15′ E, S35°25’W and N 40°35′ W find the included angle ∠POQ,∠QOR,∠ROS,∠SOT, and∠ TOP.

SOLUTION :

∠ POQ = Bearing of OQ – bearing of OP

=87°45′- 30°00′

= 57°45′

∠ QOR = 180°-(bearing of OQ +bearing of OR)

= 180° – (87°45′ + 25°15′)

=67°00′

∠ ROS = Bearing of OR + bearing of OS

= 25°15′ +35°25′

= 60°40′

∠ SOT = 180° – ( bearing OF OS + bearing of OT )

= 180° – ( 35°25′ +40°35′)

= 104°00′

∠ TOP = Bearing of  OT + bearing of OP

= 40°35′ +30°00′

 

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