Answer:
\(16\frac{2}{3}\approx 16.67\) inches.
Step-by-step explanation:
We have been given that an engineer makes a model of a bridge using a scale of 1 inch = 3 yards. The length of the actual bridge is 50 yards.
To find the length of the model, we will use proportions as:
\(\frac{\text{Length of model}}{\text{Actual length}}=\frac{1\text{ inch}}{\text{3 yards}}\)
\(\frac{\text{Length of model}}{50\text{ yards}}=\frac{1\text{ inch}}{\text{3 yards}}\)
\(\frac{\text{Length of model}}{50\text{ yards}}*50\text{ yards}=\frac{1\text{ inch}}{\text{3 yards}}*50\text{ yards}\)
\(\text{Length of model}=\frac{50}{3}\text{ inch}\)
\(\text{Length of model}=16\frac{2}{3}\text{ inch}\)
Therefore, the length of model is \(16\frac{2}{3}\approx 16.67\) inches.
