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Sagot :
Answer:
The 9-foot ladder would have a height of 8.55 ft against the house
Step-by-step explanation:
The angles made by the 9-foot ladder and 4-foot ladder that are leaning against the house is 71.8 degrees.
The situation forms a right angle triangle.
What is a right angle triangle?
A right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonpometric ratios.
Therefore, the 9 foot and the 4 foot ladder forms the same angle.
The 4 foot ladder forms a 3.8 ft height against the wall.
Hence,
sin ∅ = opposite/ hypotenuse
sin ∅ = 3.8 / 4
∅= sin⁻¹ 0.95
∅ = 71.8051276612
∅ = 71.8°
Therefore, the angles made by the 9-foot ladder and 4-foot ladder that are leaning against the house is 71.8 degrees.
learn more on right triangle here: https://brainly.com/question/22894739
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