Question

Mary lives 2.1 miles north of her school. Her classmate roger lives 1.3 miles west of their school .What is the distance between Mary and Rogers houses ? Round your answer to the nearest tenth of a mile

Answer 1

The distance between Mary and Rogers houses is 2.47 miles.

Explanation:

From the given information we can form a right angle triangle.

Refer to the image given below.

N mentions the north and W mentions the south.

S denoted the School.

M denotes Mary's home - 2.1 miles away from School and forms one side of the triangle.

R denotes Roger's home - 1.3 miles away from School and forms another side of the triangle.

The distance between their houses will be the hypotenuse side of the triangle.

Hypotenuse side =
`\sqrt{M^(2) +R^(2) }` .

=
`\sqrt{2.1^(2) +1.3^(2) }`.

=
`√(4.41+1.69)`.

=
`√(6.1)`.

= 2.47.

Distance between their houses =2.47 miles.