Answer:
Base on the picture we know that:
∠V + ∠W + ∠U = 180°
=> 30° + 90° + ∠U = 180°
=> ∠U = 180° - 30° - 90°
=> ∠U = 60°
So from the angle we have just found, we can conclude that the triangle in the image is a 30 - 60 - 90 triangle.
Therefore, the hypotenuse is twice as long as the shorter leg of the triangle, now we can calculate the shorter leg which is UW:
UW = 20√30/2 = 10√30
From the length of the shorter leg, we can now calculate the length of the longer leg which is VW:
VW = 10√30 . √3
= 10√(3 . 10) . √3
= 10 . √3 . √10 . √3
= 10 . 3 . √10
= 30√10
