Question

In a photograph Allison stands next to her brother Caleb. Allison is 4 cm tall in the photograph. Her actual height is 60 inches. Caleb is 3.2 cm tall in the photograph. What is his actual height?

Answer 1

We have to find the actual height of Caleb.

We know the model height (in the photograph) and the actual height of Allison, so we can use it to calculate the scale k as:

`k=(Actual)/(Model)=\frac{60\text{ }in}{4\text{ }cm}`

We can use this scale to find the actual height of Caleb.

If he is s3.2 cm tall in the photograph, we have:

`\begin{gathered} k=(Actual)/(Model) \\ \\ Actual=k\cdot Model \\ \\ Actual=(\frac{60\text{ }in}{4\text{ }cm})\cdot3.2\text{ }cm \\ \\ Actual=48\text{ }in \end{gathered}`

Answer: the actual height of Caleb is 48 inches.