Neela's clock is broken. The minute hand rotates around the clock correctly, but the hour hand is stuck in the three o'clock position. Suppose Neela first looks at the clock when the hands are aligned and it shows 3:15She looks at the clock again and sees that the hour and minute hands of the clock form the arms of an angle measuring -105How many degrees could the minute hand have rotated to reach its current position ? (1 point ) -465 -375 435 95 Neela's clock is broken. The minute hand rotates around the clock correctly, but the hour hand is stuck in the three o'clock position. Suppose Neela first looks at the clock when the hands are aligned and it shows 3:15She looks at the clock again and sees that the hour and minute hands of the clock form the arms of an angle measuring -105How many degrees could the minute hand have rotated to reach its current position ? (1 point ) -465 -375 435 95

1 answer

To find the angle the minute hand has rotated, we can start by finding the angle the minute hand has traveled from 3:15 to the current position.

From 3:15 to the current position, the minute hand has traveled 4/12 of the clock face, because every hour represents 30 degrees (360 degrees divided by 12 hours). So, the minute hand has traveled 4 * 30 = 120 degrees.

Given that the angle formed by the hands is -105 degrees, and the hour hand is fixed at the 3 o'clock position (which is 90 degrees), we can calculate that the minute hand has moved by -105 + 90 = -15 degrees from the 3 o'clock position.

Therefore, the minute hand could have rotated a total of 120 - 15 = 105 degrees to reach its current position.

So, the correct answer is 95 degrees.