Answer:
the point is (1.73, 3)
Step-by-step explanation:
Given a vector on an xy plot, the magnitude is the hypotinuse of the triangle formed, and the direction is the angle with x axis. So we have a right angle triangle that must be a 30-60-90 (sum = 180).
Then from the lower angle
sin(60) = opposite/hypotinuse = y/(2*3**(1/2))
0.866 = y/(2*1.732)
0.866 = y/3.464
0.866 * 3.464 = y
3 = y
Then from the top angle
sin(30) = opposite/hypotinuse = x/(2*3**(1/2))
sin(30) = x/(2*3**(1/2))
0.5 = x/(2*3**(1/2))
0.5 = x/3.464
0.5 * 3.464 = x
1.73 = x
