To find the number of degrees the minute hand could have rotated to reach its current position, we need to figure out the difference in degrees between the two times Neela looks at the clock.
From 3:00 to 3:15, the minute hand would have rotated 15 minutes out of 60 minutes, which is 1/4 of the clock face. Since a clock face is 360 degrees, rotating 1/4 of it is 360/4 = 90 degrees.
From 3:15 to the time when the hour and minute hands form an angle of -105 degrees, another 105 degrees have been covered. Therefore, the total rotation of the minute hand to reach its current position is 90 + 105 = 195 degrees.
Therefore, the minute hand could have rotated 195 degrees 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 answer
1 answer