question_answer

Two chimneys 18m and 13m high stand upright on a ground. If their feet are 12m apart, what is the distance between their tops?

A)  \[5\,m\]                             

B)         \[31\,m\]

C)  \[13\,m\]             

D)         \[18\,m\]

Correct Answer: C

Solution :

            To find the distance between the tops of chimneys, we have to find AC. By Pythagoras' theorem,\[A{{C}^{2}}=A{{B}^{2}}+B{{C}^{2}}\] (Since \[\Delta ABC\] is a right triangle.) \[\Rightarrow \]               \[A{{C}^{2}}={{5}^{2}}+{{12}^{2}}=169\] \[\Rightarrow \]               \[AC=\sqrt{169}=13m\]