AMC8 1999
AMC8 1999 · Q2
AMC8 1999 · Q2. It mainly tests Angle chasing.
What is the degree measure of the smaller angle formed by the hands of a clock at 10 o'clock?
10点钟时，钟表指针形成的较小角度的度数是多少？
(A)
30
30
(B)
45
45
(C)
60
60
(D)
75
75
(E)
90
90
Answer
Correct choice: (C)
正确答案：（C）
Solution
At $10:00$, the hour hand will be on the $10$ while the minute hand on the $12$.
This makes them $\frac{1}{6}$th of a circle apart, and $\frac{1}{6}\cdot360^{\circ}=\boxed{\textbf{(C) } 60}$.
在$10:00$时，时针指向$10$，分针指向$12$。
这使它们相隔一个圆的$\frac{1}{6}$，$\frac{1}{6}\cdot360^{\circ}=\boxed{\textbf{(C) } 60}$。
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