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?

Paresh Mar 24, 2020

#1**+1 **

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

Hope this helped!

CalTheGreat Mar 24, 2020

#5**+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!

CalTheGreat Mar 24, 2020

#6**+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

CPhill Mar 24, 2020