Answer:
The height of the larger window is 15.36 units.
Step-by-step explanation:
Let the height of the larger window be h.
The width and height of smaller window are 5 and 8 respectively.
The width and height of smaller window are 9.6 and h respectively.
It is given that both windows are similar. The corresponding sides of similar figures are proportional.
\(\frac{5}{9.6}=\frac{8}{h}\)
\(5h=8\times 9.6\)
\(5h=76.8\)
Divide both sides by 5.
\(h=\frac{76.8}{5}=15.36\)
Therefore the height of the larger window is 15.36 units.
