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jmc

prealgebra senior

Problem

What is the measure of the smaller angle between the hands of a 12-hour clock at 12:25 pm, in degrees? Express your answer as a decimal to the nearest tenth.
Solution
Every minute, the minute hand moves degrees. At 25 minutes past the hour, the minute hand is degrees past the vertical 12:00 position. Every minute, the hour hand moves degrees. At 25 minutes past 12:00, the hour hand is degrees past the vertical 12:00 position. The angle between the hands of the clock at 12:25 is .

Final answer
137.5\text{ degrees}