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°?
Answer & explanation
Correct answer: option 3
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°
\(\sqrt {3}\) : \(\frac{1}{\sqrt {3}}\)