AMC 8 1989 Problem 10

AMC8 1989 年第 10 题

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What is the number of degrees in the smaller angle between the hour hand and the minute hand on a clock that reads seven o'clock?

时钟显示七点整时，时针和分针之间较小角的度数是多少？

正确答案 · Correct Answer

解析 · Solution

Solution 1

The minute hand points at 12 while the hour hand points at 7. Therefore, the angle between the hands is

\displaystyle \frac{5}{12}

of a full circle, or

\displaystyle \frac{5}{12} \cdot 360^\circ = 150^\circ

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