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A 2 foot tall dog casts a 3 foot shadow while at the same time a cat casts a one foot shadow. How tall is the cat? Enter a
fraction or a whole number.

Respuesta :

C1042

Answer:

The cat is 2/3 feet tall

Step-by-step explanation:

3ft shadow = 2ft tall

1ft shadow = 2/3 ft tall

The heights of the animal and the length of the shadows are in proportion: we have 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 (which we'll call x):

[tex]2\div 3=x\div 1 \iff 3x=2 \iff x=\dfrac{2}{3}[/tex]

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