Question

two joggers run 8 miles north and then 5 miles west. what is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point? round to the nearest tenths place

Answer 1

a² + b² = c²

c² = 8² + 5²

c² = 89

c = √89

c = 9.4 miles

Answer: 9.4 miles

Answer 2

The shortest distance they travel to return to starting point is 9.43 miles.

Since, two joggers run 8 miles north and then 5 miles west.

According to question , a right triangle is formed. and hypotenuse of right triangle represent the shortest distance between starting point to final point.

Apply Pythagoras theorem,

             Shortest distance, $=\sqrt{8^{2}+5^{2} } =\sqrt{64+25}=\sqrt{89}=9.43miles$

Thus, They travel 9.43 miles to return to their starting point.

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