jennifer bikes 7 miles south and then turns to bike 13 miles east how far away is she from where she started?

1 answer:

3 0

Answer:

She is about 14.765 miles ( $\sqrt{218}$ miles) from where she started

Step-by-step explanation:

There is a relation between the three sides of the right triangle

The side opposite to the right angle is called hypotenuse and it is the longest side

∵ Jennifer bikes 7 miles south

∵ She turns to bike 13 miles east

∵ South and East are perpendicular

→ That means the distance from her start point to end point represents

a hypotenuse of a right triangle, whose legs are 7 and 13

∴ (hypotenuse)² = (leg1)² + (leg2)², where

∵ Leg1 = 7 miles

∵ leg 2 = 13 miles

∴ (hypotenuse)² = (7)² + (13)²

∴ (hypotenuse)² = 49 + 169

∴ (hypotenuse)² = 218

→ Take √ for both sides

∴ hypotenuse = $\sqrt{218}$

∴ hypotenuse ≅ 14.76482306

∴ She is about 14.765 miles ( $\sqrt{218}$ miles) from where she started.

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