Suppose your home is located at (0, 0) on a coordinate plane. The school is located 5 miles west of your home. The playground is 3 miles south of the school. What is the shortest distance, in miles, between your home and the playground? Round your answer to the nearest tenth.

Answer 1

Using the Pythagorean theorem, we can calculate the distance between the school and the playground:

Distance = √(5^2 + 3^2) = √(25 + 9) = √34 ≈ 5.8 miles

The shortest distance between your home and the playground is approximately 5.8 miles.