The Reflex angle between the hands of a clock at 10:25 is:
Question
The Reflex angle between the hands of a clock at 10:25 is:
Solution
To find the reflex angle between the hands of a clock at 10:25, we first need to find the position of the hour and minute hands.
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The minute hand is at 25, which is 5/12 of the way around the clock. This is 150 degrees from the 12 o'clock position.
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The hour hand is 10 and 25/60 (or 5/12) of the way between the 10 and 11. This is 205 degrees from the 12 o'clock position.
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The smaller angle between the hands is the absolute difference between these two positions, which is 205 - 150 = 55 degrees.
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However, the question asks for the reflex angle, which is the larger angle between the hands. This is 360 - 55 = 305 degrees.
So, the reflex angle between the hands of a clock at 10:25 is 305 degrees.
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