A flag staff stands vertically on a pillar. The height of the flag staff below double the height of the pillar. A man on the ground at a distance. Finds both pillar and the flag staff subtends equal triangle $θ$ at his eye then $θ = \frac{π}{k}$ .Then k is _____

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

answer is 6.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

$F r o m ∆ l e A B D, \tan θ = \frac{h}{a} \Rightarrow a = h c o t θ \to (1) F r o m ∆ l e A C D, \tan 2 θ = \frac{3 h}{a} \Rightarrow a = 3 h c o t 2 θ \to (2) F r o m (1) a n d (2) h c o t θ = 3 h c o t 2 θ \Rightarrow \tan 2 θ = 3 \tan θ \Rightarrow \frac{2 \tan θ}{1 - \tan^{2} θ} = 3 \tan θ \Rightarrow 3 \tan^{2} θ = 1 \Rightarrow \tan θ = \frac{1}{\sqrt{3}} \Rightarrow θ = \frac{π}{6} B y c o m p a r i s i o n k = 6$