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A 10-foot ladder leans against a wall with its foot braced 3 feet from wall’s base. How far up the wall does the ladder reach? Show your work. Round answer to the nearest hundredths. IF THE PICTURE IS NOT UP PLEASE RELOAD THE PAGE THANK YOU!

A 10-foot ladder leans against a wall with its foot braced 3 feet from wall’s base-example-1

2 Answers

4 votes
Here, Just apply the Pythagoras theorem,
h² = p² + b²
10² = p² + 3²
100 - 9 = p²
p = √91

In short, Your Answer would be √91 or 9.53 Ft

Hope this helps!
User Gerri
by
7.8k points
3 votes
wall height^2 = 10^2 - 3^2
wall height^2 = 91
wall height = 9.5393920142 =
9.54 feet (rounded)

User Vladimir Romanov
by
8.3k points