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Pie
2 months ago
15

Question: 2. 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 Sketch Musah's Movement Mark 41 Ii. How Far West Is Musah's Final Point From The Centre? [Mark 41 Iv. How Far North Is Musah's Final Point From The Centre? Mark 41 Describe How You Would Guide A JHS Student​

Mathematics
1 answer:
zzz [12.3K]2 months ago
7 0

Answer:

60.36 steps West from center

85.36 steps North from center

Step-by-step explanation:

Refer to the attached

Musah's starting point and movement are depicted in the image.

  • 1. He moves 50 steps towards the North,
  • 2. Next, he moves 25 steps towards the West,
  • 3. Then he proceeds 50 steps on a bearing of 315°. We now recognize that North is measured at 0°
or 360°, so a bearing of 315° corresponds to North-West 45°.

Note: According to the Pythagorean theorem, a right triangle at 45° with hypotenuse 'a' will have legs equal to a/√2.

What is the distance West of Musah's final position from the center?

25 + 50/√2 ≈ 60.36 steps

What is the distance North of Musah's final position from the center?

  • 50 + 50/√2 ≈ 85.36 steps

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