Question

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?

$13$

$14$

$15$

$16$

$17$

Answer: A

Concepts:Pythagorean Theorem estimation

Difficulty rating: 1030

Solution:

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 Problem 8

Answer: A

Difficulty rating: 1030

Solution:

Problem 8 in Other Years