Find the exact value of x with rational denominator if the line passing through (x, 3) and (2, 1) makes an angle of 60(degrees) with the x-axis.
Thank you so much
tan(60°) = (3 - 1)/(x - 2) → 2/(x - 2)
tan(60°) = sqrt(3)/2
So: sqrt(3)/2 = 2/(x - 2)
x - 2 = 2*2/sqrt(3)
x = 2 + 4/sqrt(3)
x = 2 + 4*sqrt(3)/3
x = (2*3 + 4*sqrt(3))/3
x = (6 + 4*sqrt(3))/3
+71 
