Jiya walks 6 km due east and then 8 km due north. How far is she from her starting place
Solution:
Given, Jiya walks 6 km due east and then 8 km due north.
We have to find the distance of Jiya from her starting place.
Consider a triangle ABC,
Let C be the point from where Jiya started.
Distance travelled due east = CB = 6 km
Distance travelled due north = BA = 8 km
The distance of Jiya from her starting place.
We observe ABC is a right angled triangle.
By Pythagorean theorem,
AC² = CB² + BA²
AC² = 8² + 6²
AC² = 64 + 36
AC² = 100
Taking square root,
AC = 10 km
Therefore, the required distance is 10 km.
✦ Try This: Rani walks 9 km due west and then 9 km due south. How far is she from her starting place?
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6
NCERT Exemplar Class 7 Maths Chapter 6 Problem 113
Jiya walks 6 km due east and then 8 km due north. How far is she from her starting place
Summary:
Jiya walks 6 km due east and then 8 km due north. She is at a distance of 10 km from her starting place.
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