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Which direction will you face if you start facing east and make 3by 4of a revolution clockwise?
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Which direction will you face if you start facing east and make 3by 4o...
To determine the final direction after making a specified revolution, we can break down the problem step by step.
Understanding the Starting Point
- You begin facing East.
- In compass terms, East is represented as 90 degrees.
Calculating the Revolution
- A full revolution (360 degrees) consists of 4 quarters (90 degrees each).
- Therefore, 3/4 of a revolution can be calculated as:
- \( 3/4 \times 360 \text{ degrees} = 270 \text{ degrees} \)
Direction Change
- Since you are making a clockwise revolution, you will subtract the calculated degrees from your starting position:
- Starting at 90 degrees (East):
- Moving clockwise by 270 degrees:
\( 90 - 270 = -180 \text{ degrees} \)
- To convert -180 degrees into a positive angle, add 360 degrees:
- \( -180 + 360 = 180 \text{ degrees} \)
Final Direction
- 180 degrees corresponds to West on the compass.
Conclusion
- After starting from the East and making 3/4 of a revolution clockwise, you will end up facing West.
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Which direction will you face if you start facing east and make 3by 4of a revolution clockwise?
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