AMC 8 1999 Problem 2
AMC8 1999 年第 2 题
圆★☆☆☆☆
What is the degree measure of the smaller angle formed by the hands of a clock at 10 o'clock?
时钟在 10 点整时，时针和分针所形成较小角的度数是多少？
- A.30
- B.45
- C.60
- D.75
- E.90
正确答案 · Correct Answer
C
解析 · Solution
Solution 1
At , the hour hand will be on the 10 while the minute hand on the 12.
This makes them th of a circle apart, and .
We know that the full clock is a circle, and therefore has 360 degrees. Considering that there are 12 numbers, the distance between one number will be . If the time is , then the hour hand will be on 10, and the minute hand will be on, 12, making them 2 numbers apart, so they will be 60 degrees apart, or 60
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