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Chapter 3: Q. 3.81 (page 365)

John puts the base of a 13-foot ladder five feet from the wall of his house as shown below. How far up the wall does the ladder reach?

Short Answer

Expert verified

The ladder reaches twelve feet up the wall.

Step by step solution

01

Step 1. Given information

A right triangle is given as

02

Step 2. Use Pythagorean theorem.

By Pythagorean theorem,

a2+b2=c2b2=c2-a2b=c2-a2

03

Step 3. Substitute values in the Pythagorean theorem.

We get

c=132-52=169-25=144

By the definition of square root,

b=12

So, the ladder goes up twelve feet on the wall.

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