A man goes 35 m due west and then 12 m due north How far is e from the - Maths - The Triangle and its Properties

Question

A man goes 35 m due west and then 12 m due north How far is e
from the starting point

Priyanka Kedia · Accepted Answer

Given, A man goes 35 m due west and 12 m due north. Then, OA = 35 m and AB = 12 m

Let the Man's distance from the standing point is OB.

OAB is a right angled triangle. So, using Pythagoras Theorem, we have,

${O B}^{2} = {O A}^{2} + {A B}^{2} \Rightarrow {O B}^{2} = {(35)}^{2} + {(12)}^{2} = 1225 + 144 = 1369 \Rightarrow {O B}^{2} = 1369 t a k i n g s q u a r e r o o t o n b o t h s i d e s, w e h a v e, O B = 37 m$

Thus, Man is 37 m far from the standing point.

A man goes 35 m due west and then 12 m due north .How far is e from the starting point .