John 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 John’s movement ii. How far west is Musah’s final point from the centre?
Answers
Given : John 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 John’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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