Romeo owns a business that puts up and takes down holiday lights. He is working on a house and places the base of his 20-foot ladder at a 4-foot distance from the house. Using the inverse of sine, what is the approximate angle formed where the ladder rests on the house?(1 point) Responses 34° 34° 90° 90° 12° 12° 78°

Question

Romeo owns a business that puts up and takes down holiday lights. He is working on a house and places the base of his 20-foot ladder at a 4-foot distance from the house. Using the inverse of sine, what is the approximate angle formed where the ladder rests on the house?(1 point) Responses 34° 34° 90° 90° 12° 12° 78°

Answer 1

The angle formed where the ladder rests on the house can be calculated using the inverse sine function.

We know that the sine of an angle is equal to the opposite side over the hypotenuse. In this case, the opposite side is the height of the house (20 feet) and the hypotenuse is the length of the ladder (20 feet).

So, sin(angle) = 20 / 20
angle = sin^(-1)(1) ≈ 90°

Therefore, the approximate angle formed where the ladder rests on the house is 90°.