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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
From the top of a viewpoint at a height of 80 m, the angles of depression of the top and bottom of a flag standing on the same plane are $30^\circ$ and $45^\circ$. Find the height of the flag.
Solution
Let the distance between viewpoint and flag be $x$. For bottom of flag:
$\tan45^\circ=\frac{80}{x}$
$x=80$
Let height of flag be $h$.
For top of flag:
$\tan30^\circ=\frac{80-h}{x}$
$\frac{1}{\sqrt{3}}=\frac{80-h}{80}$
$80-h=\frac{80}{\sqrt{3}}$
$h=80-\frac{80}{\sqrt{3}}$
$h=80\left(1-\frac{1}{\sqrt{3}}\right)$
Answer: $(c) 80\left(1-\frac{1}{\sqrt{3}}\right)$
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