A man goes 15 m due west and then 8 m due north How far is he from the starting point...

Question

A man goes 15 m due west and then 8 m due north How far is he from the starting point

Accepted Answer

R D Sharma Solutions - Mathematics - Class 7 chapter Properties of Triangle Question 8 Solution image

Given a man goes 15 m due west and then 8 m due north

Let O be the starting point and P be the final point.

Then OP becomes the hypotenuse in the triangle.

So by using the Pythagoras theorem, we can find the distance OP.

OP^2 = 15^2 + 8^2

OP^2 = 225 + 64

OP^2 = 289

OP = 17

Hence, the required distance is 17 m.

RD Sharma Solutions Class 7 Mathematics Solutions for Properties of Triangle Exercise 15.5 in Chapter 15 - Properties of Triangle