Question

Runners in a long distance race start out going 8 kilometers east and then head north for the remainder of the race. The finish line is 10 kilometers from the starting line. How far did the runners travel north?

2 km
6 km
10 km

Answer 1

@NarWhalGod @Rilkins13 @563blackghost

Answer 2

Why am I being posted?

Answer 3

And sup joe

Answer 4

So you are using Pythagorean Theorem for this problem.

You know your distance east and the distance from start to finish, but not the direction north. So draw this out.



Your equation is:

\(\large\bf{a^{2} + 8^{2} = 10^{2}}\)

You need to find `a`, so make this into an equation of `a`.

\(\bf{10^{2}-8^{2}=a^{2}}\)

Find a.