The average red
fox is 20 inches tall
at the shoulder and
55 inches long from
nose to tail-tip. The
Bospolder fox is
proportional to a red
fox. How tall is it at the
shoulder, rounded to the
nearest tenth?

Respuesta :

The question is an illustration of ratios and proportions

The Bospolder fox is 28 inches tall at the shoulder,

Represent the ratio as:

[tex]Scale = Shoulder : Tail[/tex]

For the red fox, we have:

[tex]Red = 20in : 55in[/tex]

For the Bospolder fox, we have:

[tex]Bospolder =Shoulder : Tail[/tex]

To calculate the length of the shoulder of the Bospolder fox, we need its length at the tail.

Since it is not given, I will make an assumption.

Assume, the Bospolder fox is 77in tall at the tail.

The ratio becomes

[tex]Bospolder =Shoulder : 77in[/tex]

Both animals are proportional; this means that they have the same ratio.

So, we have:

[tex]Shoulder : 77in = 20in : 55in[/tex]

Express as fraction

[tex]\frac{Shoulder }{ 77in }= \frac{20in }{55in}[/tex]

Multiply both sides by 77in

[tex]Shoulder = \frac{20in }{55in} \times 77in[/tex]

[tex]Shoulder = \frac{20in \times 77}{55}[/tex]

[tex]Shoulder = 28in[/tex]

Using the assumed length, the Bospolder fox is 28 inches tall at the shoulder,

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