The frostburg-truth bus travels from frostburg mall through the city's center to sojourner truth park. the mall is 2 miles east and 2 miles north of the city's center. truth park is 3 miles west and 4 miles south of the city's center. how far is it from truth park to the mall, to the nearest tenth of a mile? a.) 2.8b.) 7.8c.) 5d.)2.2

Option: b is the correct answer.

                   b)    7.8 miles.

Let us suppose that the city center is located at C(0,0) on the coordinate grid.

Now, The mall is 2 miles east and 2 miles north of the city's center.

This means that the coordinate of  the mall is located at M(2,2)

and Truth Park is 3 miles west and 4 miles south of the city's center.

This means that the coordinate of the Truth park is located at P(-3,-4)

Hence, the distance between the mall and Truth park is equal to the sum of the distance between the Center city and mall and center city and Truth park.

i.e.   PM=CM+PC

From the figure we may observe that:

Hence,

Similarly,

Hence, PM=2.828+5=7.828 miles

       The distance between mall and Truth park to the nearest tenth is:

                          7.8 miles