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The Reflex angle between the hands of a clock at 5 o' clock ?210°150°210°110°

Question

The Reflex angle between the hands of a clock at 5 o' clock ?210°150°210°110°

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Solution

The angle between the hands of a clock at any given time can be calculated using the formula:

Angle = |30H - 11/2 M|

where H is the hour and M is the minute.

At 5 o'clock, H = 5 and M = 0. Substituting these values into the formula gives:

Angle = |305 - 11/20| = |150 - 0| = 150°

However, since the question asks for the reflex angle (the larger angle between the two hands), we subtract this from 360°:

Reflex Angle = 360° - 150° = 210°

So, the reflex angle between the hands of a clock at 5 o'clock is 210°.

This problem has been solved

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