Question

. Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 3150.
i. Sketch Musah’s movement [Mark 4] ii. How far west is Musah’s final point from the centre? [Mark 4] iii. How far north is Musah’s final point from the centre? [Mark 4] iv. Describe how you would guide a JHS student to find the bearing and distance of
Musah’s final point from the centre.

Answer 1

Given :   Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 315°

To find : How far west is Musah’s final point from the centre

Solution:

                  NORTH

  WEST                  EAST

                 SOUTH

50 Step North  

25 Steps  West

Bearing is a direction measured from north and it tracks angle in clockwise direction with north line

a bearing of 315°

Means 315°  from North clockwise

or 45° from North anti clock wise

=> Direction will be North West  

50 Steps in direction of North west

North = 50 Sin 45 = 50/√2 =  35.35 Step

West = 35.35 Step

Total North = 50 + 35.35 = 85.35 Steps

Total West = 25 + 35.35   =60.35  Steps

final point from the centre  is  60.35  Steps west  

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