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a ladder 15 feet tall is placed 7 feet from a building that is perpendicular to the ground. how tall is the building?

Sagot :

Answer: who old are you

Step-by-step explanation:

clarch19

Answer:

13 feet

Step-by-step explanation:

the part of the ladder on the ground creates a right angle with the building where the base is 7 feet and the hypotenuse is 15 feet

we can use the pythagorean theorem to solve for the height of the building

let 'b' = height of building

7² + b² = 15²

49 + b² = 225

b² = 176

b = [tex]\sqrt{176}[/tex]

[tex]\sqrt{176}[/tex] = [tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{11}[/tex] = 2·2[tex]\sqrt{11}[/tex]

b = 4[tex]\sqrt{11}[/tex] which is approximately 13.3 feet

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