-435°
The minute hand would have to rotate 360° to reach its initial position at 3:15. However, since the hour hand is stuck at 3 o'clock, the minute hand would continue rotating past 3:15. Since the hour and minute hand form an angle of -105 degrees, the minute hand has kept rotating an additional 105 degrees past 3:15. Therefore, the total rotation of the minute hand is 360° + 105° = 465°. Since the minute hand has rotated 465°, it could have rotated -435° to reach its current position.
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 hand of the clock form the angle measuring -105 degrees. How many degrees could the minute hand have rotated to reach its current position?(1 point) Responses -435° -435° -465° -465° -95° -95° -375°
1 answer