Find the missing side of the top right triangle.

Let's analyze the top right triangle KNM, where angle K is 60 degrees, side KN is 5, and angle N is 90 degrees. We need to find the length of side NM, which is adjacent to angle K. We can use the tangent function to find the length of side NM: $$\tan(K) = \frac{NM}{KN}$$ $$\tan(60^{\circ}) = \frac{NM}{5}$$ We know that $$\tan(60^{\circ}) = \sqrt{3}$$, so we can substitute this into the equation: $$\sqrt{3} = \frac{NM}{5}$$ Now, we can solve for NM: $$NM = 5\sqrt{3}$$ Answer: $$5\sqrt{3}$$