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The tops of two poles of height 20 m and 14 m are connected by

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The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle of $3 0^{o}$ with horizontal, then the length of the wire is

12

10

8

6

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The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle of

3 0^{o}

with horizontal, then the length of the wire is

8 mins ago

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Text solutionVerified

Given that : Heights of two poles are

20

and

14

m respectively.

Angle wire makes with horizontal

= 3 0^{\circ}

Let distance between two poles be

x

and length of wire be

y

t an 3 0^{\circ} = \frac{20 - 14}{x} = \frac{6}{x}

\frac{1}{3} = \frac{6}{x}

\Rightarrow x = 63

As length of the wire will form the hypotenuse of right angled triangle thus formed,

y^{2} = 6^{2} + (63)^{2} = 144

∴ y = 12

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Question Text	The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle of $3 0^{o}$ with horizontal, then the length of the wire is
Answer Type	Text solution:1
Upvotes	150