The height of the actual tree when on a scale drawing with a scale of 1 cm:0.75 ft, the height of a mailbox is 6.5 cm, is 4.875 ft.
What is scale factor?
Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures.
On a scale drawing with a scale of 1 cm:0.75 ft, the height of a mailbox is 6.5 cm. Here, the scale factor is,
[tex]k=\dfrac{1\rm\; cm}{0.75\rm\; ft}[/tex]
The height of a mailbox is 6.5 cm. Let suppose, the actual tree is x meter long. Thus, the ratio of this factor is,
[tex]k=\dfrac{6.5}{x}[/tex]
Comparing both factors,
[tex]\dfrac{1\rm\; cm}{0.75\rm\; ft}=\dfrac{6.5}{x}\\x=6.5\times0.75\\x=4.875[/tex]
Thus, the height of the actual tree when on a scale drawing with a scale of 1 cm:0.75 ft, the height of a mailbox is 6.5 cm, is 4.875 ft.
Learn more about the scale factor here;
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