asked 79.2k views
4 votes
T Frank leans a 10 foot ladder against the side of his house, but because of a

rose bush next to the house, the bottom of the ladder is 3 feet away from the
wall. How high will the top of his 10 foot ladder really reach? feet

asked
User Sarsnake
by
8.4k points

1 Answer

2 votes

Answer:

9.5 feet

Explanation:

We use Pythagorean thm:

a² + b² = c²

Given:

b = 3

c = 10

Work:

a² + b² = c²

a² + 3² = 10²

a² + 9 = 100

a² = 91


√(a^2) =√(91)

a = 9.5

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