To find out how many degrees the minute hand could have rotated to reach its current position, we first need to calculate the angle between the hour hand and the minute hand when they are aligned at 3:15.
At 3:15, the hour hand is at the 3 and the minute hand is at the 3. The angle between the hour and minute hands at this time is 0°.
When the hour hand is stuck at the 3 o'clock position and the angle between the hour and minute hands is -105°, we can calculate the total angle the minute hand has rotated by adding 105° to the starting angle of 0°.
Total angle rotated = 0° + 105° = 105°
Therefore, the minute hand could have rotated by -105° + 105° = -465° to reach its current position.
Therefore, the correct answer is:
-465°
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 3:15. 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°. How
many degrees could the minute hand have rotated to reach its current position?
(1 point)
-465°
-375°
-435°
-95°
1 answer
4 answers