Question

An electrician leans an extension ladder against the outside wall of a

Answer 1

The length of the ladder is 34.33 feet if the electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 33 feet up. The ladder makes an angle of 74° with the ground.

What is a right-angle triangle?

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

We have:

An electrician leans an extension ladder against the outside wall of a

house so that it reaches an electric box 33 feet up. The ladder makes

an angle of 74° with the ground.

The ladder, wall, and ground makes a right angle triangle.

From the sin ratio;

$\rm sin74 = \dfrac{33}{X}$

Here is X is the length of the ladder.

We know sin74 = 0.961

After putting, we will get:

X = 34.329 ≈ 34.33 feet

Thus, the length of the ladder is 34.33 feet if the electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 33 feet up. The ladder makes an angle of 74° with the ground.

Learn more about the right angle triangle here:

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