Question

Please answer with work shown (only if possible)

Answer 1

103.2 km

Explanation:

Hi there!

1) Draw a diagram

Please see the picture below.

2) Solve for the length of the diagonal

Because Jacob's path creates a right triangle, we can use the Pythagorean theorem:
`a^2+b^2=c^2` where c is the side opposite the right angle and a and b are the other sides

Plug in the known information

`64^2+81^2=c^2\\64^2+81^2=c^2\\10657=c^2`

Take the square root of both sides to isolate c

`10657=c^2\\103.2=c`

I hope this helps!