# SOLUTION: Find the exact angle measure between the minute and the hour hands at 1:15 p.m.

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 Question 483018: Find the exact angle measure between the minute and the hour hands at 1:15 p.m.Answer by Edwin McCravy(8999)   (Show Source): You can put this solution on YOUR website!Find the exact angle measure between the minute and the hour hands at 1:15 p.m. ```The hour hand turns one complete revolution or 360° in 12 hours, which is 360°/12 or 30° per hour. At 12:00 both hands are upward vertically. At 1:00 the hour hand is 30° from the vertical (and 60° from the horizontal). In the 1/4 an hour (15 minutes) from 1:00 to 1:15, the hour hand has swung through 1/4 of 30° or 7.5°, so at 1:15 the hour hand has moved 7.5° more from the vertical, so it's 30°+7.5° or 37.5° from the vertical and 52.5° from the horizontal, and the minute hand is exactly horizontal at 1:15, so the answer is 52.5°. Edwin```