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
1 answer:
Answer:
60.36 steps West from centre
85.36 steps North from centre
Step-by-step explanation:
<em>Refer to attached</em>
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°.
<em />
<em>Note. According to Pythagorean theorem, 45° right triangle with hypotenuse of a has legs equal to a/√2.</em>
<u />
<u>How far West Is Musah's final point from the centre?</u>
- 25 + 50/√2 ≈ 60.36 steps
<u>How far North Is Musah's final point from the centre?</u>
- 50 + 50/√2 ≈ 85.36 steps
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