SOLUTION: . Elizabeth starts at her house then runs 2 miles south. She then turns and runs 5 miles west. If she runs in a straight line back to her house, how much distance will she have

Question 1200142: . Elizabeth starts at her house then
runs 2 miles south. She then turns
and runs 5 miles west. If she runs in a
straight line back to her house, how
much distance will she have covered
in total? Round your answer to the
nearest tenth of a mile.
Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52824) (Show Source): You can put this solution on YOUR website!
.

Use the Pythagoras formula for the distance d = = use your calculator.

That's all.

Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

a = distance she runs south = 2
b = distance she runs west = 5
c = distance from start to finish along a straight line

Drawing

Use the Pythagorean Theorem to determine c.

This is the exact straight-line distance from start to finish.

This is the approximate straight-line distance from start to finish.

When rounding to the nearest tenth, we get 5.4

Answer: 5.4 miles

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