Question

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

Answer 1

Let AC be the ladder of length h m and C be the points, makes an angle of elevation 60° with the wall and foot of the ladder is 9.5 meter away from wall.

In a triangle ABC, given that BC = 9.5 m and angle C = 60°

Now we have to find length of ladder.

So we use trigonometrically ratios.

In a triangle ABC,

$cosC=\frac{BC}{AC}$

$cos60=\frac{9.5}{h}$

$\frac{1}{2}=\frac{9.5}{h}$

$h=19$

Hence length of ladder is 19 meters.