Question
What is the scale factor from the cliff in the drawing to the actual cliff? Scale drawing: light house: 10in cliff:12in The actual lighthouse cliff is:36ft
Answers
GPT-4o mini
To find the scale factor from the scale drawing to the actual dimensions, you'll first need to compare the dimensions from the scale drawing with the actual measurements.
1. **Identify the dimensions in the scale drawing:**
- Lighthouse: 10 inches
- Cliff: 12 inches
2. **Identify the actual dimension of the cliff:**
- Actual cliff height: 36 feet
3. **Convert the actual cliff measurement to inches (since the scale drawing is in inches):**
- There are 12 inches in a foot, so:
\[
36 \text{ feet} \times 12 \text{ inches/foot} = 432 \text{ inches}
\]
4. **Determine the scale factor for the cliff:**
- Scale factor is calculated by dividing the actual size by the drawing size.
\[
\text{Scale factor} = \frac{\text{Actual cliff height}}{\text{Cliff in scale drawing}} = \frac{432 \text{ inches}}{12 \text{ inches}} = 36
\]
So, the scale factor from the cliff in the drawing to the actual cliff is **36**.
1. **Identify the dimensions in the scale drawing:**
- Lighthouse: 10 inches
- Cliff: 12 inches
2. **Identify the actual dimension of the cliff:**
- Actual cliff height: 36 feet
3. **Convert the actual cliff measurement to inches (since the scale drawing is in inches):**
- There are 12 inches in a foot, so:
\[
36 \text{ feet} \times 12 \text{ inches/foot} = 432 \text{ inches}
\]
4. **Determine the scale factor for the cliff:**
- Scale factor is calculated by dividing the actual size by the drawing size.
\[
\text{Scale factor} = \frac{\text{Actual cliff height}}{\text{Cliff in scale drawing}} = \frac{432 \text{ inches}}{12 \text{ inches}} = 36
\]
So, the scale factor from the cliff in the drawing to the actual cliff is **36**.