Class 10 Exam  >  Class 10 Questions  >  A girl walks 500m towards East and then 1.2 k... Start Learning for Free
A girl walks 500m towards East and then 1.2 km towards North. The distance of the girl from the starting point is?
Most Upvoted Answer
A girl walks 500m towards East and then 1.2 km towards North. The dist...
Distance of a girl from the starting point


Given, a girl walks 500m towards East and then 1.2 km towards North. We need to find the distance of the girl from the starting point.


Concept:


Distance is the total length of the path covered by an object. In this question, the girl has walked in two different directions, so we need to use Pythagoras theorem to calculate the distance of the girl from the starting point.


Pythagoras theorem:


According to Pythagoras theorem, in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.


Mathematically, if a and b are the lengths of the legs (the two shorter sides) of a right-angled triangle and c is the length of the hypotenuse, then:


c² = a² + b²


Solution:


Let's assume that the starting point is O, and the girl walks 500m towards East and reaches point A. From point A, she walks 1.2 km towards North and reaches point B.


Using Pythagoras theorem, we can find the distance of the girl from the starting point:


Distance OB = √(OA² + AB²)


OA = 500m (as she walks 500m towards East)


AB = 1.2 km = 1200m (as she walks 1.2 km towards North)


Distance OB = √(500² + 1200²)


Distance OB = √(250000 + 1440000)


Distance OB = √(1690000)


Distance OB = 1300m


Therefore, the distance of the girl from the starting point is 1300m.
Community Answer
A girl walks 500m towards East and then 1.2 km towards North. The dist...
Using Pythagoras theorem
base square + perpendicular square = hypothenuse square

base = 500 m
perpendicular = 1200m
hypothenuse -
500 square + 1200 square
1690000
root of 1690000 = 1300
hence the distance of the girl from the starting point is 1.3 I'm or 1300 m
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
Explore Courses for Class 10 exam

Top Courses for Class 10

A girl walks 500m towards East and then 1.2 km towards North. The distance of the girl from the starting point is?
Question Description
A girl walks 500m towards East and then 1.2 km towards North. The distance of the girl from the starting point is? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A girl walks 500m towards East and then 1.2 km towards North. The distance of the girl from the starting point is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A girl walks 500m towards East and then 1.2 km towards North. The distance of the girl from the starting point is?.
Solutions for A girl walks 500m towards East and then 1.2 km towards North. The distance of the girl from the starting point is? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of A girl walks 500m towards East and then 1.2 km towards North. The distance of the girl from the starting point is? defined & explained in the simplest way possible. Besides giving the explanation of A girl walks 500m towards East and then 1.2 km towards North. The distance of the girl from the starting point is?, a detailed solution for A girl walks 500m towards East and then 1.2 km towards North. The distance of the girl from the starting point is? has been provided alongside types of A girl walks 500m towards East and then 1.2 km towards North. The distance of the girl from the starting point is? theory, EduRev gives you an ample number of questions to practice A girl walks 500m towards East and then 1.2 km towards North. The distance of the girl from the starting point is? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev