We appreciate your visit to If a runner jogs 6 miles west and then jogs 3 miles north how far is the runner from her starting point if she plans. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
To calculate the runner's straight-line distance back to her starting point, use the Pythagorean theorem. The runner is approximately 6.71 miles away from her starting point.
Explanation:
The problem given is a classic example of a two-dimensional vector displacement problem, where the jogger's movements are equivalent to vector additions. In this scenario, we can treat the jogger's movements as a right-angled triangle, with one leg representing the 6-mile journey west, and the other leg representing the 3-mile journey north.
Using the Pythagorean theorem, we can calculate the straight-line distance (hypotenuse) from her end-point back to the starting point by squaring the lengths of the two legs of the triangle, adding them together, and taking the square root of the sum:
Distance from starting point (d) = √((6 miles)² + (3 miles)²)
= √(36 + 9)
= √45
≈ 6.71 miles
The runner is approximately 6.71 miles away from her starting point if she plans to run straight back.
Thanks for taking the time to read If a runner jogs 6 miles west and then jogs 3 miles north how far is the runner from her starting point if she plans. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
6.71 miles is the distance runner has to jogfrom her starting point if she plans to run straight back
What is Trigonometry?
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given,
If a runner jogs 6 miles west
Let the path will be AB =6miles
Then jogs 3 miles north,
BC=3 miles
We need to find how far is the runner from her starting point if she plans to run straight back
Which means we need to find AC
Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.
AC²=AB²+BC²
AC²=6²+3²
AC²=36+9
AC²=45
Take square root on both sides
AC=√45
AC=6.71
Hence, 6.71 miles is the distance runner has to run from her starting point if she plans to run straight back
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ2
