Answer: sqrt(3)/2
Only the 3 is inside the square root.
=============================================================
Explanation:
Tangent is the ratio of opposite over adjacent.
We can express tan(theta) as y/x because of this. The point (1/2, m) shows that x = 1/2 and y = m.
So,
tan(theta) = y/x = m/(1/2) = 2m
If we're told that tan(theta) = sqrt(3), then we need to solve the equation below for m
2m = sqrt(3)
m = sqrt(3)/2
