Answer:
Tommy and Manuel are 16 ft apart
Step-by-step explanation:
The locations of all three players are shown in the image below
They form a right triangle where the hypotenuse is 20 ft, and one of the legs is 12 ft. We must find the other leg.
We must use Pythagoras's theorem. Being a and b the legs of a right triangle and c its hypotenuse, then
[tex]c^2=a^2+b^2[/tex]
Knowing c and one of the legs, say b:
[tex]a^2=c^2-b^2[/tex]
Using the values c=20, b=12 we find
[tex]a^2=20^2-12^2=400-144=256[/tex]
[tex]a=\sqrt{256}=16[/tex]
So, Tommy and Manuel are 16 ft apart
