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
in the scale drawing, what is the width of the cabin
___ in.
scale factor = 5
in the scale drawing, what is the width of the cabin
___ in.
Answers
GPT-4o mini
To find the width of the cabin in the scale drawing, we first need to understand the relationship between the scale drawing and the actual dimensions of the cabin.
Given that Oscar's scale drawing has a scale factor of 5, we know that each unit in the drawing represents a larger real-world unit. However, you also mentioned that 2 inches in the drawing represents 10 feet of the actual tower.
Here's the breakdown of the information:
1. **Scale drawing factor**: 2 inches = 10 feet.
2. **Scale factor**: 5.
Using the first point of information, we need to convert 10 feet to inches to align with the scale drawing unit. Since there are 12 inches in a foot:
- 10 feet = 10 × 12 = 120 inches.
Now we already have:
- 2 inches (drawing) = 120 inches (actual).
Now let’s determine how much 1 inch in the drawing represents in the actual size:
- \( 2 \text{ inches} \) in drawing = \( 120 \text{ inches} \) actual
- Thus, \( 1 \text{ inch} \) in drawing = \( \frac{120}{2} \text{ inches} \) actual = \( 60 \text{ inches} \) actual.
This means that one inch in Oscar's scale drawing corresponds to 60 inches (or 5 feet) in real life.
Since you mentioned the scale factor is 5, we need additional clarification regarding what that applies to (for example, height, width, etc.). If the width of the cabin is to be determined, usually additional dimensions or descriptions are provided.
Could you please provide the width of the actual cabin in either feet or inches? Then we can calculate the width in the drawing based on the established scale.
Given that Oscar's scale drawing has a scale factor of 5, we know that each unit in the drawing represents a larger real-world unit. However, you also mentioned that 2 inches in the drawing represents 10 feet of the actual tower.
Here's the breakdown of the information:
1. **Scale drawing factor**: 2 inches = 10 feet.
2. **Scale factor**: 5.
Using the first point of information, we need to convert 10 feet to inches to align with the scale drawing unit. Since there are 12 inches in a foot:
- 10 feet = 10 × 12 = 120 inches.
Now we already have:
- 2 inches (drawing) = 120 inches (actual).
Now let’s determine how much 1 inch in the drawing represents in the actual size:
- \( 2 \text{ inches} \) in drawing = \( 120 \text{ inches} \) actual
- Thus, \( 1 \text{ inch} \) in drawing = \( \frac{120}{2} \text{ inches} \) actual = \( 60 \text{ inches} \) actual.
This means that one inch in Oscar's scale drawing corresponds to 60 inches (or 5 feet) in real life.
Since you mentioned the scale factor is 5, we need additional clarification regarding what that applies to (for example, height, width, etc.). If the width of the cabin is to be determined, usually additional dimensions or descriptions are provided.
Could you please provide the width of the actual cabin in either feet or inches? Then we can calculate the width in the drawing based on the established scale.
the width of the actual tower is 15ft