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=(x)/(1.8)`

So now we simplify. so we get,

`\begin{gathered} x=\cos 23*1.8 \\ x=0.920*1.8 \\ x=1.656 \end{gathered}`

So the required height is 1.65m