TRUE BEARING WORD PROBLEMS WORKSHEET

Problem 1 :

A helicopter travels from base station S on a true bearing of 074° for 112 km to outpost A. It then travels 134 km on a true bearing of 164° to outpost B. How far is outpost from base station S ?

Solution

Problem 2 :

Two bushwalkers set off from base camp at the same time. One walks on a true bearing of 049° at an average speed of 5 kmh^-1, while the other walks on a true bearing of 319° at an average speed of 4 kmh^-1. Find their distance apart 3 hours.

Solution

Problem 3 :

James is about to tackle an orientation course. He has been given these instruction.

• the course is triangular and starts and finishes at S.
• the first checkpoint A is in the direction 056° from S.
• the second checkpoint B is in the direction 146° from A.
• the distance from A to B is twice the distance from S to A. 
• the distance from B to S is 2.6 km.

Find the length of orientation course.

Solution

Problem 4 :

A fighter plane and helicopter set off from airbase A at the same time. The helicopter travels on a bearing of 152° and the fighter plane travels on bearing of 242° at three times the speed. They arrive bases B and C respectively, 2 hours later. IF B and C are 1200 km apart, find the average speed of the helicopter.

Solution

Problem 5 :

Two rally car drivers set off from town C at the same time. Driver A travels in the direction 63° T at 120 km/h while driver B travels in the direction 333° T at 135 km/h. How far they apart after one hour ?

Solution

Problem 6 :

Town B is 27 km from Town A in the direction 134° T. Town C is 21 km from town B in a direction 224° T. Find the distance between A and C.

Solution