Problema Solution

After school, Troy skateboards directly from school to an ice cream parlor and then from the ice cream parlor to a movie theater. The ice cream parlor is 2 miles south of the school and the movie theater is 2 miles east of the ice cream parlor. What is the straight-line distance between the school and the movie theater? If necessary, round to the nearest tenth.

Answer provided by our tutors

Using the Pythagorean Theorem we calculate the straight-line distance between the school and the movie theater:

d^2 = 2^2 + 2^2

d^2 = 8

d = √8

d = 2√2

d = 2.8 mi

The straight-line distance between the school and the movie theater is 2.8 miles approximately.