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Chapter 7: Q. 281 (page 715)

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 height of the cat is23foot

Step by step solution

01

Step 1. Given Information

The given data is a 2-foot-tall dog casts a 3-foot shadow at the same time a cat casts a one foot shadow.

02

Step 2. Calculation

Let xrepresents the height of the cat.

Translate the given statement into proportion.

23=x1x=23

03

Step 3. Check

We will substitute the value of xin the equation and verify.

23=x123=23123=23

Hence, verified.

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