40. A cab picks up a passenger at a point that is designated on the map as (7,-3) and is 7 miles east and 3 miles south of the cab company’s headquarters. From (7,-3), the cab travels 4 miles due north, 5 miles due east, and then 2 miles due west, where the passenger is dropped off. Which of the following is closest to the straight-line distance, in miles, the cab is from the cab company’s headquarters?

Answer and Explanation

Your Answer is

Correct Answer is J

Explanation

According to the question stem, it can be known that the coordinates of the headquarters are (7-7,-3+3)=(0,0), and the coordinates of the drop-off point are (7+5-2,-3+4)=(10,1 ). According to the Pythagorean theorem, it can be seen that the straight-line distance between (0,0) and (10,1) is about 10.