Math Problem Statement
Solution
To calculate the direct distance between Closside and Farlisle using Pythagoras' theorem:
- The vertical distance (north-south direction) is 14 km.
- The horizontal distance (east-west direction) is 20 km.
- These form the two legs of a right triangle, with the hypotenuse being the direct distance we want to find.
Using Pythagoras' theorem: where , , and is the hypotenuse.
The direct distance between Closside and Farlisle is approximately 24.4 km.
Do you want further details or have any questions?
Here are 5 related questions to expand your understanding:
- How can we use Pythagoras' theorem in real-world navigation problems?
- What are other applications of Pythagoras' theorem in physics or engineering?
- How do we verify the accuracy of calculations involving square roots?
- What happens if the distances given are not orthogonal? How do we adapt the calculation?
- What would be the result if either distance (14 km or 20 km) were doubled?
Tip: Always double-check unit consistency in your calculations to ensure accuracy!
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Math Problem Analysis
Mathematical Concepts
Geometry
Right Triangles
Square Roots
Formulas
c = √(a² + b²)
Theorems
Pythagoras' Theorem
Suitable Grade Level
Grades 6-8
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