question_answer

A tourist travelled 40 km towards East and turning to his left he travelled 60 km. "He then turned to his right and travelled 40 km. What was the distance between his initial and final positions?

A)  100km                                                 

B)  120km

C)  140 km                                                

D)  Not possible to determine

Correct Answer: A

Solution :

;           A\[\equiv \] Initial position D\[\equiv \] Final postion \[{{\left( AD \right)}^{2}}={{\left( AE \right)}^{2\text{ }}}+\text{ }{{\left( DE \right)}^{2}}\] \[={{\left( 80 \right)}^{2}}+{{\left( 60 \right)}^{2}}=\text{ }6400+3600=10000\] AD=100km