Neela's clock is broken. the minute hand rotates around the clock correctly, but the hour hand is stuck at the three o clock position. Suppose Neela first looks at the clock when the hands are aligned and it shows 3:15. She looks at the clock again and sees that the hour and minute hands of the clock form the arms of an angle measuring -105 degrees. How many degrees could the minute hand have rotated to reach its current position?

Question

Neela's clock is broken. the minute hand rotates around the clock correctly, but the hour hand is stuck at the three o clock position. Suppose Neela first looks at the clock when the hands are aligned and it shows 3:15. She looks at the clock again and sees that the hour and minute hands of the clock form the arms of an angle measuring -105 degrees. How many degrees could the minute hand have rotated to reach its current position?

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1 answer
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Answer 1

Bot GPT 3.5 answered
1 month ago

From 3:15 to 3:00, the minute hand would have moved 15 minutes x 6 degrees per minute = 90 degrees.

To calculate the total degrees the minute hand has rotated from 3:00 to its current position when forming an angle of -105 degrees with the hour hand, we can set up the following equation:

Total degrees rotated by the minute hand = 90 degrees - 105 degrees = -15 degrees.

Therefore, the minute hand has rotated -15 degrees to reach its current position.