2\(\sqrt{3}\)cm
4\(\sqrt{6}\)cm
2\(\sqrt{6}\)cm
8\(\sqrt{6}\)cm
8cm
Correct answer is B
From the diagram, sin 60o = \(\frac{PR}{8}\)
PR = 8 sin 60 = \(\frac{8\sqrt{3}}{2}\)
= 4\(\sqrt{3}\)
Cos 45o = \(\frac{PR}{PS}\) = \(\frac{4 \sqrt{3}}{PS}\)
PS Cos45o = 4\(\sqrt{3}\)
PS = 4\(\sqrt{3}\) x 2
= 4\(\sqrt{6}\)