Question

The top of a ladder reaches a point on the wall $5m$ above the ground. If the foot of the ladder makes an angle of ${30}^{\circ }$ with the ground, find the length of the ladder.

Answer 1

Step: Finding the length of the ladder.

Let us assume that $PR$ be the ladder and $PQ$ is the point which is $5m$ above the ground.
Then,
In $△PQR$,
$\sin {30}^{\circ }=\frac{PQ}{PR}$
$\frac{1}{2}=\frac{5}{PR}$
$PR=10m$

Therefore, the length of the ladder is $10m$.