+0  
 
-2
109
9
avatar+392 

While walking on a plane surface, a traveler first headed 18 miles north, then 11 miles west, then 6 miles south and finally 6 miles east. How many miles from the starting point was the traveler after these four legs of the journey?

 Mar 24, 2020
 #1
avatar+1956 
+1

This was also posted here: https://web2.0calc.com/questions/help_99723

 

Hope this helped!

 Mar 24, 2020
 #2
avatar+392 
0

u are forgetting that the first digit is 18 not 19

Paresh  Mar 24, 2020
 #3
avatar+1956 
+1

Oh yeah.... sorry! I will post my answer.

 Mar 24, 2020
 #4
avatar+392 
0

its ok

 :)

:)

Paresh  Mar 24, 2020
 #5
avatar+1956 
+2

18-6=12

11-6=5

 

Then, we use the Pythagorean Theorem.

 

sqrt(12^2+5^2)

=sqrt(144+25)

=sqrt(169)

=13.

 

Hope this helped!

 Mar 24, 2020
 #7
avatar+111321 
0

Heck, Cal....you beat me to it   !!!!!

 

Good job    !!!!!

 

 

cool cool cool

CPhill  Mar 24, 2020
 #6
avatar+111321 
+1

Here's  one way of doing this

 

Let the starting  point  = (0,0)

 

So  18 mi  north puts us at (0,18)

 

11 miles west of here puts us at  (-11,18)

 

6 miles south puts us at  ( -11, 12)

 

6 miles  east puts us at   (-5 , 12)

 

These are two legs  of  a 5, 12, 13  right triangle

 

So...we are  13  miles from our starting point

 

cool cool cool

 Mar 24, 2020
 #8
avatar+392 
+1

thxxxxxxxxxxxxxxx

 Mar 24, 2020
 #9
avatar+1956 
+2

Of course!

And Chris, LOL!!!!!!!!!!!!

CalTheGreat  Mar 24, 2020

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