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.
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.