jee-main 2016 Q77

jee-main · India · 10apr Not Maths
The angle of elevation of the top of a vertical tower from a point A , due east of it is $45 ^ { \circ }$. The angle of elevation of the top of the same tower from a point B , due south of A is $30 ^ { \circ }$. If the distance between A and B is $54 \sqrt { 2 } m$, then the height of the tower (in meters), is:
(1) 108
(2) $36 \sqrt { 3 }$
(3) $54 \sqrt { 3 }$
(4) 54 
The angle of elevation of the top of a vertical tower from a point A , due east of it is $45 ^ { \circ }$. The angle of elevation of the top of the same tower from a point B , due south of A is $30 ^ { \circ }$. If the distance between A and B is $54 \sqrt { 2 } m$, then the height of the tower (in meters), is:\\
(1) 108\\
(2) $36 \sqrt { 3 }$\\
(3) $54 \sqrt { 3 }$\\
(4) 54
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