The side mirror of a small pickup truck is similar to that a larger full size pickup truck. If the smaller truck has a rectangular side mirror with a width of 13.3 in. and a height of 15.2 in., what is the height of the larger mirror if its width is 16.8 in.?
A) 19.2 in.
B) 21.3 in.
C) 19.5 in.
D) 16.7 in.
E) 16.8 in.

Question

Quizplus · Accepted Answer

The height of the larger mirror can be found by using the concept of similarity ratios. The ratio of the widths is equal to the ratio of the heights. So, $ \frac{16.8}{13.3} = \frac{x}{15.2} $. Solving for x gives $ x = \frac{16.8 \times 15.2}{13.3} = 19.2 $ inches.

The Side Mirror of a Small Pickup Truck Is Similar