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 oscar's scale drawing what is the height of the tower from the ground to the base of the cabin?
___ in.
height in drawing x scale factor = actual height
scale factor = 5
In oscar's scale drawing what is the height of the tower from the ground to the base of the cabin?
___ in.
height in drawing x scale factor = actual height
Answers
GPT-4o mini
To find the height of the tower from Oscar's scale drawing, we can use the scale conversion provided.
The scale indicated is that 2 inches in the drawing represents 10 feet of the actual tower.
To find the height in the drawing that corresponds to the actual height of the tower from the ground to the base of the cabin, we will set up the relationship as follows:
1. Convert the scale from inches to feet:
- 2 inches (drawing) = 10 feet (actual height)
2. Calculate the relationship:
- \( \text{Actual height} = \text{height in drawing} \times \text{scale factor} \)
Given that the scale factor is 5, let's express the 2 inches in the context of the scale factor:
- Actual Height (feet) = Drawing Height (inches) × 5
Since 2 inches in the drawing corresponds to 10 feet, we can find the height from the drawing using the scale conversion:
Given the scale,
10 ft / 5 = 2 ft (actual height for the 2 inches)
Thus, for the entire height represented by the drawing, if we want to find the height in the drawing that corresponds to the height from the ground to the base of the cabin, it would depend on what total height "x" that the scale drawing represents.
So, we set this equation for height in drawing:
\[
\text{Drawing height} = \frac{\text{Actual Height}}{5}
\]
If you provide the actual height of the tower in feet, I can calculate the corresponding height in inches based on this scale of 2 inches = 10 feet.
The scale indicated is that 2 inches in the drawing represents 10 feet of the actual tower.
To find the height in the drawing that corresponds to the actual height of the tower from the ground to the base of the cabin, we will set up the relationship as follows:
1. Convert the scale from inches to feet:
- 2 inches (drawing) = 10 feet (actual height)
2. Calculate the relationship:
- \( \text{Actual height} = \text{height in drawing} \times \text{scale factor} \)
Given that the scale factor is 5, let's express the 2 inches in the context of the scale factor:
- Actual Height (feet) = Drawing Height (inches) × 5
Since 2 inches in the drawing corresponds to 10 feet, we can find the height from the drawing using the scale conversion:
Given the scale,
10 ft / 5 = 2 ft (actual height for the 2 inches)
Thus, for the entire height represented by the drawing, if we want to find the height in the drawing that corresponds to the height from the ground to the base of the cabin, it would depend on what total height "x" that the scale drawing represents.
So, we set this equation for height in drawing:
\[
\text{Drawing height} = \frac{\text{Actual Height}}{5}
\]
If you provide the actual height of the tower in feet, I can calculate the corresponding height in inches based on this scale of 2 inches = 10 feet.