Let the height of the broken part be x feet from the ground.

The broken part is 10-x feet.

Obviously, the broken part is the hypotenuse.

So (10-x) 2 = x2+3 2.

x^2-20x+ 100=x^2+9

20x=9 1

x=4.55

So it's 4.55 feet

a^2-b^2=(a+b)(a-b)=(m+n？ +m？ -n？ )(m+n？ -m？ +n？ )

=4m？ n？ =c？

So a? =b？ =c？

So it is a right triangle.

Because of 60? +80? = 100?

So his route is a right triangle.

So the first turn is a right angle.

So it's south or north.