Question

The angle of elevation of a ladder leaning against a wall is ${60}^o$ and the foot of the ladder is $9.5$ m away from the wall. Find the length of the ladder.

Answer 1

Here, $AC$ is a length of ladder.

$\Rightarrow$ $BC=9.5m$

$\Rightarrow$ Now, $\cos {60}^o=\frac{BC}{AC}$ [ $\cos \theta =\frac{Adjacentside}{Hypotenuse}$ ]

$\Rightarrow$ $\frac{1}{2}=\frac{9.5}{AC}$

$\therefore$ $AC=9.5\times 2$

$\therefore$ $AC=19m$

$\therefore$ Length of the ladder is $19m$.