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 49E
To determine

To find: The height of the building up to which ladder reach.

Expert Solution

Answer to Problem 49E

The ladder can reach up to height 18 ft.

Explanation of Solution

Given:

The length of ladder is 1912 -foot.

The distance between ladder and building is 712 ft.

Calculation:

Let, height of the building up to which ladder reach be x.

Tabulate the given information into the language of algebra.

In words In Algebra
Height of building x
Length of ladder 19.5
Distance from ladder to building 7.5

Model the equation for the above information.

(Heightofbuilding)2+(Base)2=(Lengthofladder)2(x)2+(7.5)2=(19.5)2

Simplify the above equation for x,

x2+56.25=380.25x2=324x=18

Thus, the ladder can reach up to height 18 ft.

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