Question

Minneapolis-St. Paul International Airport 位于 St. Paul 市中心西南 $8$ 英里处，也位于 Minneapolis 市中心东南 $10$ 英里处。下列哪个数最接近 St. Paul 市中心与 Minneapolis 市中心之间的英里数？

Minneapolis-St. Paul International Airport is $8$ miles southwest of downtown St. Paul and $10$ miles southeast of downtown Minneapolis. Which of the following is closest to the number of miles between downtown St. Paul and downtown Minneapolis?

$13$

$14$

$15$

$16$

$17$

答案：A

知识点：勾股定理估算

难度评级：1030

解答：

两个给定方向互相垂直，因此机场位于一个直角三角形的直角顶点，两条直角边为 $8$ 和 $10$ 。

两个市中心之间的距离为 $\sqrt{8^2 + 10^2} = \sqrt{164} \approx 12.8$ ，最接近 $13$ 。

所以正确答案是 A。

The two given directions are perpendicular, so the airport sits at the right angle of a right triangle with legs $8$ and $10.$

The distance between the downtowns is $\sqrt{8^2 + 10^2} = \sqrt{164} \approx 12.8,$ which is closest to $13.$

Thus, the correct answer is A.

2004 AMC 10B 第 8 题

答案：A

难度评级：1030

解答：

其他年份的第 8 题