SATHEE: Quantitative Aptitude Ques 2495

Quantitative Aptitude Ques 2495

Question: The tops of two poles of height 24 m and 36 m are connected by a wire. If the wire makes an angle of $ 60{}^\circ $ with the horizontal, then the length of the wire is

Options:

A) $ 8\sqrt{3},m $

B) 8 m

C) $ 6\sqrt{3},m $

D) 6m

Show Answer

Answer:

Correct Answer: A

Solution:

Let the length of the wire be $ l. $ In $ \Delta ADE, $ $ \sin 60{}^\circ =\frac{DE}{AD} $ [AD = length of wire] In $ \Delta ADE, $ $ \sin 60{}^\circ =\frac{DE}{AD} $

$ \Rightarrow $ $ \frac{\sqrt{3}}{2}=\frac{36-24}{l} $

$ \Rightarrow $ $ l=\frac{12}{\sqrt{3}}\times 2 $

$ \therefore $ $ l=\frac{24}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3}}=8\sqrt{3},m $

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Quantitative Aptitude Ques 2495

Question: The tops of two poles of height 24 m and 36 m are connected by a wire. If the wire makes an angle of $ 60{}^\circ $ with the horizontal, then the length of the wire is

Options:

Answer:

Solution:

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