Distance traveled East =x meters Distance traveled South =40 meters Distance traveled West =60 meters Distance traveled North =200 meters PR =200 meters Formula used: Pythagoras theorem: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Calculation: PR =200 meters Horizontal distance between P and R=x−60 Vertical distance between P and R = 200-40=160 Using Pythagoras theorem: ⇒(PR)2=( Horizontal distance )2+( Vertical distance )2 ⇒2002=(x−60)2+1602 ⇒40000=(x−60)2+25600 ⇒(x−60)2=40000−25600 ⇒(x−60)2=14400 ⇒x−60=√14400 ⇒x−60=120 ⇒x=120+60 ⇒x=180
