Question

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 77^{\circ} ∘ with the ground. Find the length of the ladder. Round your answer to the nearest hundredth of a foot if necessary.

Answer 1

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 $77^{\circ}$  the ground.

What is the sin ratio?

$sin(\theta)=\frac{perpendicular \ side}{hypotenous}$

Therefore we get,

$\implies\frac{22}{H} =sin(77)$

$\implies H=22/sin(77)$

$\implies 22.59ft\\\\=23ft$

Therefore, The length of the ladder nearest hundredth of a foot is 23 feet.

To learn more about the trigonometric ratio visit:

brainly.com/question/24349828

#SPJ1