question_answer

Direction: Study the following information carefully and answer the questions given below: Priya is looking for her mother. She went 60m in the west before turning to her left. She went 15m before turning to her left again to look for her mother at her uncle's place 25m from this point. Her mother was not there. From there she went 80m to her north before meeting her mother in a street.

At what distance did Priya meet her mother from the starting point?

A)  \[5\sqrt{109m}\]                       

B)  \[5\sqrt{218m}\]

C)  \[6\sqrt{157m}\]                       

D)  \[\sqrt{5455m}\]

E)  None of these

Correct Answer: B

Solution :

 OE - DE - OD -- 80 - 15 - 65m AO = AB - OB - AB - CD -- 60 - 25 - 35m \[AE=\sqrt{{{(OE)}^{2}}+{{(OA)}^{2}}}\] \[=\sqrt{{{(65)}^{2}}+{{(35)}^{2}}}=\sqrt{4225+1225}\] \[=\sqrt{5450}=5\sqrt{218}\]