What is the measure, in degrees, of the acute angle formed by the minute hand and the hour hand on a standard clock when it indicates 9:45?
+130071 Using the top of the clock as 0°
The minute hand moves 360° in every hour......so in 45 min = 3/4 hr it has moved 360 * 3/4 = 270° from the top of the clock
The hour hand moves 30° in one hour
At 9, the hour hand is at 270°....so in 3/4 of an hour it is at 270 + (3/4)(30) = 292.5°
So.....the angle between them is 292.5 - 270 = 22.5°
