The length of the ladder nearest hundredth of a foot is 23 feet.
We have given that,
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up.
The ladder makes an angle of [tex]77^{\circ}[/tex] the ground.
[tex]sin(\theta)=\frac{perpendicular \ side}{hypotenous}[/tex]
Therefore we get,
[tex]\implies\frac{22}{H} =sin(77)[/tex]
[tex]\implies H=22/sin(77)[/tex]
[tex]\implies 22.59ft\\\\=23ft[/tex]
Therefore, The length of the ladder nearest hundredth of a foot is 23 feet.
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