Question

A painter sets a ladder up to reach the bottom of a second storey window 16 feet above the ground.the base of the ladder is 12 feet from the house.while the painter mixes the paint a neighbours dog bumps the ladder which moves the base 2 feet farther away from the house. how far up side of the house does the ladder reach?

Answer 1

a² + b² = c² ................. Pythagorean Theorem 
b = √((12)² + (16)² - (12+2)²) 
b = √204 = 2√51 

Answer: 2√51 ft. (approx. 14.283 ft. in decimal)

Answer 2

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