If θ is an angle in standard position whose terminal side passes through (3, 4), evaluate tan(1/2)θ.
1/4
3/10
1/2
4/5

The tangent half angle formula, one of several, is

We have θ is opposite 4 in the 3/4/5 right triangle so

1/2

This is actually pretty deep.  It says half the big acute angle in the 3/4/5 triangle is the small diagonal angle of the 1x2 rectangle.   Similarly, the small acute angle in 3/4/5 triangle is twice the small diagonal angle of the 1x3 rectangle.

there will be 35 boys in each team. : )