question_answer

Two students X and Y come out from the school and starts walking 1.5 km each in opposite directions. Each turns to his right and go 2 km to reach their homes. What is the distance between the homes of X and Y?                                                  

A)  8 km                           

B)  7 km                           

C)  6 km                           

D)  5 km              

Correct Answer: D

Solution :

; In \[\Delta ABC\] \[{{\left( AB \right)}^{2}}+{{\left( BC \right)}^{2}}={{\left( AC \right)}^{2}}\Rightarrow {{\left( 4 \right)}^{2}}+{{\left( 3 \right)}^{2}}={{\left( AC \right)}^{2}}\] \[\Rightarrow 25\text{ }=\text{ }{{\left( AC \right)}^{2}}\text{ }\Rightarrow \text{ }AC\text{ }=\text{ }5\text{ }km\]