Answer:
[tex]h^{*} = 25\,in[/tex]
Step-by-step explanation:
Let consider that door has a height of 5 feet and a width of 3 feet. The scale factor is:
[tex]n = \frac{15\,in}{3\,ft}[/tex]
[tex]n = 5\,\frac{in}{ft}[/tex]
The height of the cabinet is:
[tex]h^{*} = n \cdot h_{door}[/tex]
[tex]h_{*} = \left(5\,\frac{in}{ft} \right)\cdot (5\,ft)[/tex]
[tex]h^{*} = 25\,in[/tex]
