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,
[tex]\cos \theta=\frac{\text{adjacentside}}{\text{hypotneus}}[/tex]So now we substitute the known values. so we get,
[tex]\cos 23=\frac{x}{1.8}[/tex]So now we simplify. so we get,
[tex]\begin{gathered} x=\cos 23\times1.8 \\ x=0.920\times1.8 \\ x=1.656 \end{gathered}[/tex]So the required height is 1.65m
