Answer:
4x +3y = 10
Step-by-step explanation:
The radius CD has slope Δy/Δx = (1-(-2))/(8-4) = 3/4.
The equation for the perpendicular line through point C(4, -2) can be written as ...
Δx(x -4) +Δy(y -(-2)) = 0
4(x -4) +3(y +2) = 0
4x +3y -10 = 0 . . . . . . general form equation for the line
4x +3y = 10 . . . . . . . . .standard form equation for the line
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.
<h3>What is a right-angle triangle?</h3>
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;
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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