Question

A 1.8m long ladder rests against a vertical wall. The ladder makes an angle of 23 degrees with the wall. How high up the wall does the ladder go

Answer 1

Given:-

A 1.8m long ladder rests against a vertical wall. The ladder makes an angle of 23 degrees with the wall.

To find How high up the wall does the ladder go.

So now we use the formula,

$\cos \theta=\frac{\text{adjacentside}}{\text{hypotneus}}$

So now we substitute the known values. so we get,

$\cos 23=\frac{x}{1.8}$

So now we simplify. so we get,

$\begin{gathered} x=\cos 23\times1.8 \\ x=0.920\times1.8 \\ x=1.656 \end{gathered}$

So the required height is 1.65m