question_answer

A soldier goes to a warfield and runs in the following manner From the starting point, he goes west 25 m, then due North 60 m, then due East 80 m and finally due South 12 m. The distance between the starting point and the finishing point is

A)  177 m             

B)  103 m

C)  83 m                           

D)  73 m

Correct Answer: D

Solution :

Let P be the starting point of his run. Then, PT is the distance between the starting and the finishing points. \[\therefore \]      \[PU=RQ-ST=60-12=48\,m\]             \[TU=RS-QP=80-25=55\,m\] \[\therefore \] In \[\Delta PUT\]             \[P{{T}^{2}}={{(PU)}^{2}}+{{(TU)}^{2}}\] \[\therefore \]      \[PT=\sqrt{{{(48)}^{2}}+{{(55)}^{2}}}\]             \[=\sqrt{5529}=73\,m\]