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
