Question

The Frostburg-Truth bus travels from Frostburg Mall through the city’s center to Sojourner Truth Park. The mall is 5 miles west and 4 miles south of the city’s center. Truth Park is 5 miles east and 2 miles north of the city’s center. How far is it from Truth Park to the mall to the nearest tenth of a mile?

Answer 1

Thus, Truth park is 11.8 miles from the mall.

Step-by-step explanation:

In the given figure, in triangle OWS, we apply Pythagoras Theorem.

OS² = OW² + WS²

      = 5² + 4²

      = 25 + 16

OS = √41

In triangle OEN, again we apply the Pythagoras Theorem.

Therefore, ON² = NE² + OE²

                          = 5² + 2²

                          = 25 + 4

                   ON = √29

According to the figure, the distance between Truth park and the mall = SN

SN = OS + ON

     = $\sqrt{41}+\sqrt{29}$

    = 6.4031 + 5.3851

    = 11.7882 ≈ 11.8 miles

Thus, Truth park is 11.8 miles from the mall.

Learn more about similar problem : https://brainly.in/question/5260882

Answer 2

Answer:

Step-by-step explanation: