Question

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

Answer 1

Answer: who old are you

Step-by-step explanation:

Answer 2

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 = $\sqrt{176}$

$\sqrt{176}$ = $\sqrt{4}$$\sqrt{4}$$\sqrt{11}$ = 2·2$\sqrt{11}$

b = 4$\sqrt{11}$ which is approximately 13.3 feet