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यदि सूर्य का उन्नयन कोण 60º है, तब 30 मीटर लंबी छाया बनाने वाले मीनार की ऊँचाई है

(A) \(\frac{30}{\sqrt 3}\) मी०

(B) 15√3 मी०

(C) 30√3 मी०

(D) 15 मी०

2 Answers

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Best answer

Correct option is (C) 30√3 मी०

Triangle ABC

Let the height of tower = h m

In \(\triangle A B C\)

\(\tan 60^{\circ} =\frac{A B}{B C}\)

\(\sqrt{3} =\frac{h}{30 \mathrm{~m}}\quad\left[\because \tan 60^{\circ}=\sqrt{3}\right]\)

\(h =30 \sqrt{3} \mathrm{~m}\)

Therefore, the height of the vertical tower is 30√3 m.

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Correct option is (C) 30√3 मी०

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