Question: 2. Musah Stands At The Centre Of A Rectangular Field. He First Takes 50 Steps North, Then 25 Steps West And Finally 50

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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 [9K] · Answer 1 · 2026-03-16T11:49:57+03:00

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