Nate rides his bike to school every day. From his home he rides 2.5 miles north, and then six miles west. If a straight line is drawn from Nate's house to the school, find the distance between these two locations.

Question

Mathematics

Hazel Delgado

23 September, 23:32

Nate rides his bike to school every day. From his home he rides 2.5 miles north, and then six miles west. If a straight line is drawn from Nate's house to the school, find the distance between these two locations.

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Answers (2)

Know the Answer?

Anne Harris · Answer 1

use Pythagorean Theorem

2.5^2 + 6^2 = x^2

6.25 + 36 = 42.25

x = sqrt (42.25) = 6.5 miles

Kaylah Cole · Answer 2

By the Pythagorean Theorem, the length of the hypotenuse of a right triangle is equal to the sum of the side lengths squared, mathematically:

h^2=x^2+y^2

h^2=6^2+2.5^2

h^2=36+6.25

h^2=42.25

h=√ (42.25) miles

h=6.5 miles