# The height at which bamboo is broken.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.6, Problem 89E
To determine

Expert Solution

## Answer to Problem 89E

The bamboo is broken at height of 4.55 ft.

### Explanation of Solution

Given:

The length of bamboo is 10-ft.

Distance between the tip and stem of bamboo is 3 ft.

Calculation:

Let the height at which bamboo is broken be x.

Tabulate the given information into the language of algebra.

 In words In algebra Height at which bamboo is broken x Height of remaining bamboo 10−x

Model the equation for the above information.

(height)2+(base)2=(hypotenuse)2(x)2+(3)2=(10x)2

Simplify the above equation.

x2+9=100+x220x20x=100920x=91x=4.55

Thus, the bamboo is broken at height of 4.55 ft.

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