Answered

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I turn 40 degrees clockwise, 70 degrees anticlockwise and
finally 90 degrees clockwise. If I want to return to my original
position by turning through the smallest possible angle, in which
direction should I turn and what should the angle be?

Sagot :

chetankachana

Answer:

Anticlockwise 60°

Step-by-step explanation:

Let my starting point be 0°

Turning to the right(clockwise)40° = 0° + 40° = 40°

I am now at 40° to the right of my starting point.

Turning to the left(anticlockwise) 70° = 40° - 70° = -30°

I am now 30° to the left of my starting point.

Turning to the right 90° = -30° + 90° = 60°

I am 60° to the right of my starting point.

To go back to the startoing point(0°), I should go to the left(anticlockwise) by 60°

This is a change of -60°

-Chetan K

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