Gopal started walking towards east. After mov | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the starting point be $A$. Gopal moves $1 \,km$ east to point $B$,then $5 \,km$ south to point $C$,then $2 \,km$ east to point $D$,and finally

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(B) Let the starting point be $A$. Gopal moves $1 \,km$ east to point $B$,then $5 \,km$ south to point $C$,then $2 \,km$ east to point $D$,and finally $9 \,km$ north to point $E$.To find the distance $AE$,we construct a right-angled triangle by extending $AB$ to a point $O$ such that $EO$ is perpendicular to $AO$.Here,$AO = AB + BO = 1 \,km + 2 \,km = 3 \,km$.The vertical distance $OE = ED - OD = 9 \,km - 5 \,km = 4 \,km$.Using the Pythagorean theorem in $	riangle AOE$:$AE^2 = AO^2 + OE^2$$AE^2 = 3^2 + 4^2 = 9 + 16 = 25$$AE = \sqrt{25} = 5 \,km$.Thus,Gopal is $5 \,km$ away from his starting point.

Gopal started walking towards east. After moving a distance of $1 \,km$,he turned southward and walked $5 \,km$. Again,he turned to east and walked $2 \,km$. Finally,he turned to the north and walked $9 \,km$. How far is he from his starting point (in $,km$)?

Similar Questions

Five boys are standing in a row facing East. Deepak is to the left of Sameer,Tushar,and Shailendra. Sameer,Tushar,and Shailendra are to the left of Sushil. Shailendra is between Sameer and Tushar. If Tushar is fourth from the left,then how far is Sameer from the right?

One day,Ravi left home and cycled $10 \,km$ southwards,turned right and cycled $5 \,km$,turned right and cycled $10 \,km$,and finally turned left and cycled $10 \,km$. How many kilometres will he have to cycle to reach his home straight? (in $km$)

Deepak starts walking straight towards east. After walking $75 \, m$,he turns to the left and walks $25 \, m$ straight. Again he turns to the left,walks a distance of $40 \, m$ straight,and again he turns to the left and walks a distance of $25 \, m$. How far is he from the starting point?

$A$ watch reads $4:30$. If the minute hand points East,in what direction will the hour hand point?

If South-east becomes North,North-east becomes West and so on,what will West become?

Vedclass Test Series

Exam Paper Generator

Online Exam Module