The tops of two poles of heights 40m and 25m are connected by a...

The tops of two poles of heights

40m

and

25m

are connected by a wire. If the wire makes an angle

{30}^{o}

with the horizontal, then the length of the wire is The tops of two poles of heights 40m and 25m are connected by a wire. If the wire makes an angle 30 ^ o with the

The tops of two poles of heights 40m and 25m are connected by a wire. If the wire makes an angle 30 ^ o with the

Options

A $30m$
B $20m$
C $15m$
D $25m$

Correct answer

A. $30m$

Step-by-step solution

Let

AB = 40

and

CD = 25

be the two poles.

AC = l

is the length of the wire.

CE,

the horizontal through

C, ∠ACE = {30}^{o}

\dfrac{AE}{l} = sin {30}^{o} = \dfrac{1}{2}

∴ l = 2AE = 30m

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