The tops of two poles of height $16 m$ and $10 m$ are connected by a wire of length $l$ metres. If the wire makes an angle of $30^{o}$ with the horizontal then find $l$ .

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Solution

Let $A E$ be a pole of $10 m$ and $B D$ be the another pole of $16 m$ and $D E$ be the wire.

From the figure,
$C D = 16 - 10 = 6 m$

Now,
In $△ C D E$ ,
$sin 30^{\circ} = \frac{C D}{D E}$
$D E = 2 \times 6 = 12 m .$

Hence, this is the answer.

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The tops of two poles of height 16 m and 10 m are connected by a wire of length l metres. If the wire makes an angle of 30o with the horizontal then find l.

Let AE be a pole of 10 m and BD be the another pole of 16 m and DE be the wire.From the figure,CD=16−10=6 mNow,In △CDE,sin30∘=CDDEDE=2×6=12 m.Hence, this is the answer.

The tops of two poles of height $16 m$ and $10 m$ are connected by a wire of length $l$ metres. If the wire makes an angle of $30^{o}$ with the horizontal then find $l$ .

Let $A E$ be a pole of $10 m$ and $B D$ be the another pole of $16 m$ and $D E$ be the wire.

From the figure,
$C D = 16 - 10 = 6 m$

Now,
In $△ C D E$ ,
$sin 30^{\circ} = \frac{C D}{D E}$
$D E = 2 \times 6 = 12 m .$

Hence, this is the answer.