Question

while camping, Oscar makes a scale drawing of a range tower. in his drawing, 2 in. represents 10 ft of the actual tower.
scale factor = 5
actual tower width: 15 ft
in the scale drawing, what is the width of the cabin

___ in.

Answers

GPT-4o mini
To determine the width of the cabin in Oscar's scale drawing, we first need to know the scale factor and how it applies to the dimensions of the actual tower.

Given:
- Scale factor = 5
- Actual tower width = 15 ft

The scale factor means that every 1 unit in the drawing represents 5 units in real life. Therefore, to find the width of the cabin in the scale drawing, we can use the following calculation:

1. Divide the actual width by the scale factor:
\[
\text{Width in drawing} = \frac{\text{Actual width}}{\text{Scale factor}} = \frac{15 \text{ ft}}{5} = 3 \text{ ft}
\]

2. Now, convert the width from feet to inches. Since there are 12 inches in a foot:
\[
\text{Width in inches} = 3 \text{ ft} \times 12 \text{ in/ft} = 36 \text{ in.}
\]

In summary, the width of the cabin in Oscar's scale drawing is **36 inches**.