The shadow of a man is 60 m when the elevation of sun is 60°. What is the length of the shadow when sun's elevation becomes 30°?

60(√3 - 1) m 120 m 180 m 60(√3 + 1) m

180 m

since height of man is same in both case tan Θ = \(\frac{height\;of\;man}{length\;of\;shadow}\) ⇒ Ratio of tan Θ ∝ \(\frac{1}{length\;of\;shadow}\) Ratio of tan Θ:        tan 60°   :    tan 30°           \(\sqrt {3}\)      :       \(\frac{1}{\sqrt {3}}\)