Question

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

Answer 1

We travel from mall to park in a straight line.  The east-west distance is
3-(-3) miles, or 6 miles.  The north-south distance is 5+4, or  9 miles.

Use the Pyth. Thm. to find the distance between mall and park


(6 miles)^2 + (9 miles)^2 = distance^2

distance = sqrt (36 + 81) = sqrt(117 miles^2) = 10.8 miles.

Answer 2

As per Pythagorean theorem, the distance between mall and park is 10.8 miles.

What is Pythagorean theorem for a right angle triangle?

The Pythagorean theorem for a right-angle triangle states that the square of the hypotenuse of the triangle is the sum of the square of the base and the square of the height.

The distance from the mall to City Center is

= √(3² + 4²) miles

= √(25) miles

= 5 miles          (distance can't be negative)

Now, the distance from the park to City Center is

= √(3² + 5²) miles

= √(34) miles

= 5.8 miles          (distance can't be negative)

Therefore, the distance between mall and park is

= (5 + 5.8) miles

= 10.8 miles

Learn more about Pythagorean theorem here: https://brainly.com/question/4319533

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