Chapter 6.1, Problem 57PFA

To determine

The length of actual space shuttle.

Answer to Problem 57PFA

  $\text{184}\text{.2feet}$

Explanation of Solution

Given:

In the model 1 inch equals 1.67 feet of an actual space shuttle and the model is 110.3 inches tall.

Concept Used:

• To get rid of a number in addition from one side, subtract the same number from both sides of equal sign.
• To get rid of a number in subtraction from one side, add the same number both sides of equal sign.
• To get rid of a number in multiplication from one side, divide the same number from both sides of equal sign.
• To get rid of a number in division from one side, multiply the same number both sides of equal sign.

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

• The product/quotient of two similar sign numbers is always positive.
• The product/quotient of two numbers with opposite signs is always negative.

Calculation:

In order to find the actual length of the space shuttle, use the unitary method with the given scale and simplify further as shown below,

  $\begin{array}{c}\text{1inch}=1.67\text{feet}\\ \text{So,}\\ \text{110}\text{.3inch}=1.67\times 110.3\text{feet}\\ \text{=184}\text{.2feet}\end{array}$

Thus, the actual space shuttle $\text{184}\text{.2feet}$ .