Mary walks 4 miles north and then turns and walks 5 miles west. How far is she from her original starting point?

1 answer:

5 0

Answer: 6.403 miles; or, write as: 6.403 mi. .
__________________________________________________
Explanation:
_________________________________________________

5
--------------------------------------------
`   right angle   |_ |
` (right triangle ) |
   `    | 4
`       |
`
"c" ` \
(hypotenuse)     Starting point

__________________________________________________
Since we have a "right triangle, we solve for "c"; using the
"Pythagorean theorem" ;
_______________________________________________________
→ a² + b² = c² ; Solve for "c" ; our answer (in "miles"; or, "mi.") ;
__________________________________________________
Given : a = 4; b = 5 ;
____________________________
Plug these known values into our equation:
________________________________________
→ 4² + 5² = c² ;
____________________________
→ 16 + 25 = c² ; ↔ c² = 16 + 25 ;
______________________________
→ c² = 41 ;
_______________________________
→ Take the positive square root of each side of the equation (since the side of a "triangle" cannot be "negative";
__________________________________
→ √(c²) = √(41) ;
_____________________________
→ c = √41 ; Use calculator;
________________________________
→ c = 6.40312423743 ; Round to:

→ c = 6.403 miles; or, 6.403 mi.
__________________________________________

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