Question

Charlie jogs 3 miles south and then 4 miles west. If Charlie were to jog straight home, without changing direction, how far would he have to jog?

Answer 1

He would to jog 5 miles to go direct to his home

Explanation:

* Lets explain how to solve the problem

- Charlie jogs 3 miles south and then 4 miles west

- We need to know if Charlie were to jog straight home, without

changing direction how far he have to jog

- Remember: the East-west line is perpendicular to the north-south line

∵ He jogs 3 miles south

∵ He jogs 4 miles west

∵ South ⊥ west

- We can consider that the west and east distance with the straight

distance to home formed a right triangle its legs are the south and

west distance and the straight distance is its hypotenuse

∴ By using Pythagoras Theorem we can find the straight distance

- Remember: In Pythagoras Theorem
`c=\sqrt{a^(2)+b^(2)}`

where c is the hypotenuse , a and b are the legs of the right Δ

∴ The straight distance =
`\sqrt{(3)^(2)+(4)^(2)}√(9+16)=√(25)=5`

∴ He would to jog 5 miles to go direct to his home