The height of the house from the ground to the beginning of the roof is about 10.92 feet
Step-by-step explanation:
In a right triangle, the relation between the hypotenuse and the two legs of it is c² = a² + b², where
- a and b are the legs of the right angle
- c is the hypotenuse
In the problem the ladder, the height of the house and the distance between the ladder and the height of the house formed a right triangle where the ladder is its hypotenuse, the height of the house and the distance between the base of the house and the base of the ladder are the legs of it
∵ The ladder is 12 feet
∴ c = 12
∵ The roofer puts the ladder 5 feet out from the side of the house
∴ a = 5
- We need to find the height of the house so let b represents
the height of house
∴ b = the height of the house
- By using the relation above
∵ (12)² = (5)² + b²
∴ 144 = 25 + b²
- Subtract 25 from both sides
∴ 119 = b²
- Take √ for both sides
∴ 10.91 ≅ b
The height of the house from the ground to the beginning of the roof is about 10.92 feet
Learn more:
You can learn more about the Pythagoras theorem in brainly.com/question/1238144
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