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# Question 15

A ladder is placed against a vertical tower. If the ladder makes an angle of 30^{\circ} with the ground and reaches upto a height of 15 m of the tower; find length of the ladder.

• Solution

• Transcript

Let the length of the ladder = x m

According to the figure,

\begin{array}{l} \frac{15}{x}=\sin 30^{\circ} \quad\left[\because \frac{\operatorname{Perp}}{\text { Hypot. }}=\sin \right] \\ \frac{15}{x}=\frac{1}{2} \\ x=30 \mathrm{m} \end{array}

The length of the ladder is 30m.

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