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1 older comment kept for context.
Oluwaseun Adeyemi
From the diagram, WYZ = 60o, XYW = 180o - 60o
= 120o
LX = 30o
XWY = 180o - 120o + 30o
XWY = 30o
WXY = XYW = 30o
Side XY = YW
YW = 8m, sin 60o = \(\frac{3}{2}\)
∴ sin 60o = \(\frac{h}{YW}\), sin 60o = \(\frac{h}{8}\)
h = 8 x \(\frac{3}{2}\)
= 4\(\sqrt{3}\)