Question

The Frostburg-Truth bus travels on a straight road from Frostburg Mall to Sojourner Truth Park. The mall is 2 miles east and 5 miles north of the City Center. The park is 5 miles west and 5 miles south of the Center. How far is it from the mall to the park to the nearest tenth of a mile?

Answer 1

Coordinates of City Center: (0, 0)

Coordinates of mall: (2, 5)

Coordinates of park: (-5, -5)

Distance from mall to park:

`\sqrt{ {(2 - ( - 5))}^(2) + {(5 - ( - 5))}^(2) }`

`\sqrt{ {7}^(2) +{10}^(2) } = √(49 + 100) = √(149) = 12.2`

The distance from the mall to the park is about 12.2 miles.