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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 8: Q. 415 (page 998)

A 2 foot tall dog casts a 3 foot shadow at the same time a cat casts a one foot shadow. How tall is the cat?

Short Answer

Expert verified

The cat is $\frac{2}{3}$ feet tall

Step by step solution

01

Step 1. Given information

A 2 foot tall dog casts a 3 foot shadow at the same time a cat casts a one foot shadow

02

Step 2. Finding the cat's height

The heights of the animal and the length of the shadows are in proportion

We know that dog's height : dog's shadow length=cat's height : cat's shadow length

Plug in the values and solve for the cat's height $= x$

$2 \div 3 = x \div 1 3 x = 2 x = \frac{2}{3}$

Therefore,the height of cat $= \frac{2}{3} f e e t$

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