Question

MODELS, An artist used interlocking building blocks to build a scale model of Kennedy Space Center, Florida. In the model, 1 inch equals 1.67 feet of an actual space shuttle. The model is 110.3 inches tall. How tall is the actual space shuttle? Round to the nearest tenth.

Short answer

The length of the actual space shuttle is $x=184.2\text{feet}$.

Step-by-step solution

Step 1. Write down the given statement.

The given scale is:

1 inch = 1.67 feet

Step 2. By method of proportion.

Let the actual length of the shuttle be x. Therefore the proportion can be written as:

$$\begin{gathered} \frac{1}{1.67}=\frac{110.3}{x} \\ 1\left(x\right)=110.3\left(1.67\right) \\ x=184.2\text{feet} \end{gathered}$$

Step 3. The conclusion from the length of the actual space shuttle.

The length of the actual space shuttle is $x=184.2\text{feet}$.