Question

The two windows shown are similar. What is the height of the larger window? the smaller one is 5 by 8 and the bigger one is 9.6 by the height

Answer 1

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.