Question

The Frostburg-Truth bus travels on a straight road from Frostburg Mall to Sojourner Truth Park. The mall is 5 miles west and 3 miles south of the City Center. The park is 4 miles east and 4 miles north of the Center. How far is it from the mall to the park to the nearest tenth of a mile?

Answer 1

11.4 miles

Explanation:

See the attached diagram.

The mall is 5 miles west and 3 miles south of the City Center. And the park is 4 miles east and 4 miles north of the Center.

Now, if we consider the City Center as the origin (0,0), then the coordinates of the Park are (4, 4) and that of the Mall are (- 5, - 3).

Therefore, the distance between the Mall and the Park will be

`\sqrt{(4 + 5)^(2) + (4 + 3)^(2)} = 11.4` miles. (Answer)