Question

PLEASE HELP ME!!!!!!!!!

Answer 1

In the right triangle, one of the angles has measure 60 deg, so the remaining angle has measure 30 deg. In such a 30-60-90 triangle, the sides occur in a ratio of 1 to $\sqrt3$ to 2 (shorter leg to longer leg to hypotenuse). This means

$2n=4\implies n=2$

$n\sqrt3=m\implies m=2\sqrt3$

making the answer C.