Question

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​

Answer 1

60.36 steps West from centre

85.36 steps North from centre

Explanation:

Refer to attached

Musah start point and movement is captured in the picture.

• 1. He moves 50 steps to North,
• 2. Then 25 steps to West,

• 3. Then 50 steps on a bearing of 315°. We now North is measured 0°

or 360°, so bearing of 315° is same as North-West 45°.

Note. According to Pythagorean theorem, 45° right triangle with hypotenuse of a has legs equal to a/√2.

How far West Is Musah's final point from the centre?

• 25 + 50/√2 ≈ 60.36 steps

How far North Is Musah's final point from the centre?

• 50 + 50/√2 ≈ 85.36 steps