Question
Download Solution PDFA lady stands on the road facing the East direction. She turns 48 degrees in clockwise direction and 72 degrees in anti-clockwise direction. Which direction is she facing now?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet's re-evaluate the problem step by step and verify the correct direction.
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Starting Position: East (0 degrees).
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First Turn (Clockwise 48 degrees):
- From East (0 degrees), moving clockwise 48 degrees.
- East (0 degrees) + 48 degrees = 48 degrees.
- 48 degrees is between East (0 degrees) and South-East (90 degrees).
- From East (0 degrees), moving clockwise 48 degrees.
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Second Turn (Anti-clockwise 72 degrees):
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From the new position (48 degrees), turning 72 degrees anti-clockwise:
- 48 degrees - 72 degrees = -24 degrees.
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Since -24 degrees can be re-expressed in a 360-degree system:
-24 degrees + 360 degrees = 336 degrees.
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336 degrees is equivalent to 360 - 336 = 24 degrees in the clockwise direction from North.
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Evaluating:
- North is 0 degrees.
- East is 90 degrees.
- 24 degrees clockwise from North falls between North and East.
Hence, the final direction is:
Correct Answer: North-East
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