Convert the line length from one map scale to another map scale: Map 1 Line Length: 13.7" Map 1 Scale: 1"=1320' Map 2 Scale: 1"=500' Map 2 Line = ? %3D
Convert the line length from one map scale to another map scale: Map 1 Line Length: 13.7" Map 1 Scale: 1"=1320' Map 2 Scale: 1"=500' Map 2 Line = ? %3D
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
![**Converting Map Scale Lengths**
To convert the line length from one map scale to another, follow these steps:
- **Map 1 Line Length:** 13.7 inches
- **Map 1 Scale:** 1 inch = 1320 feet
- **Map 2 Scale:** 1 inch = 500 feet
- **Map 2 Line:** ?
Use the conversion formula:
1. **Find the real-world length from Map 1:** Multiply Map 1’s line length by its scale.
\[
\text{Real-world length} = 13.7 \, \text{inches} \times 1320 \, \text{feet/inch}
\]
2. **Convert the real-world length to Map 2’s scale:** Divide the real-world length by Map 2’s scale.
\[
\text{Map 2 Line Length} = \frac{\text{Real-world length}}{500 \, \text{feet/inch}}
\]
This will give you the line length on Map 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F199a39fd-8af0-4bf4-9bf8-16e0386eb3e2%2F278de6ec-d24b-41ec-a39d-b2888c11a5dc%2F6zfsrz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Converting Map Scale Lengths**
To convert the line length from one map scale to another, follow these steps:
- **Map 1 Line Length:** 13.7 inches
- **Map 1 Scale:** 1 inch = 1320 feet
- **Map 2 Scale:** 1 inch = 500 feet
- **Map 2 Line:** ?
Use the conversion formula:
1. **Find the real-world length from Map 1:** Multiply Map 1’s line length by its scale.
\[
\text{Real-world length} = 13.7 \, \text{inches} \times 1320 \, \text{feet/inch}
\]
2. **Convert the real-world length to Map 2’s scale:** Divide the real-world length by Map 2’s scale.
\[
\text{Map 2 Line Length} = \frac{\text{Real-world length}}{500 \, \text{feet/inch}}
\]
This will give you the line length on Map 2.
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