the top of two poles of height 20 m and 14 m are cnected by a wire . if the wire makes an angle of 30 0 with horizontal , then the length of the wire is Options: A . &nbsp8 m B . &nbsp10 m C . &nbsp12 m D . &nbsp14 m

the top of two poles of height 20 m and 14 m are cnected by a wire . if the wire

Question

the top of two poles of height 20 m and 14 m are cnected by a wire . if the wire makes an angle of 30⁰ with horizontal , then the length of the wire is

Options:

A . 8 m

B . 10 m

C . 12 m

D . 14 m

Answer: Option C

lat pole AB = 14 m

pole CD = 20 m

CD – AB = DE

20 m -14 m = 6 m

sin \(30^{0}=\frac{DE}{BD}=\frac{6}{BD} \)

\(\frac{1}{2}=\frac{6}{BD}\)

\(BD=6\times2= 12\)m

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Abhay 2016-04-11 13:47:50

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