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Alecsey [184]
3 years ago
10

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

Mathematics
1 answer:
dusya [7]3 years ago
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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