To determine the distance from the mall to the park, we can break down the problem into the horizontal and vertical components. The horizontal distance is 3 miles west from the mall to the City Center, and then 3 miles east from the Center to the park, resulting in a total horizontal distance of 3 + 3 = 6 miles.
The vertical distance is 4 miles south from the mall to the City Center, and then 5 miles north from the Center to the park, resulting in a total vertical distance of 4 + 5 = 9 miles.
Using the Pythagorean theorem, we can find the distance from the mall to the park:
Distance = √((horizontal distance)^2 + (vertical distance)^2)
= √(6^2 + 9^2)
= √(36 + 81)
= √117
≈ 10.8 miles
Therefore, the distance from the mall to the park is approximately 10.8 miles, which is closest to the last option: 10.8 miles.
The Frostburg-Truth bus travels on a straight road from Frostburg Mall to Sojourner Truth Park. The mall is 3 miles west and 4 miles south of the City Center. The park is 3 miles east and 5 miles north of the Center. How far is it from the mall to the park to the nearest tenth of a mile?
5.8 miles
5.0 miles
1.0 mile
10.8 miles
1 answer