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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;
[tex]\rm sin74 = \dfrac{33}{X}[/tex]
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:
brainly.com/question/3770177
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