BuyFind

Precalculus: Mathematics for Calcu...

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

Precalculus: Mathematics for Calcu...

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

Solutions

Chapter 1.6, Problem 89E
To determine

To find: The height at which bamboo is broken.

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 10x

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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