jee-main 2007 Q99

jee-main · India Radians, Arc Length and Sector Area

A tower stands at the centre of a circular park. $A$ and $B$ are two points on the boundary of the park such that $A B ( = a )$ subtends an angle of $60 ^ { \circ }$ at the foot of the tower, and the angle of elevation of the top of the tower from $A$ or $B$ is $30 ^ { \circ }$. The height of the tower is
(1) $\frac { 2 a } { \sqrt { 3 } }$
(2) $2 a \sqrt { 3 }$
(3) $\frac { a } { \sqrt { 3 } }$
(4) $a \sqrt { 3 }$

A tower stands at the centre of a circular park. $A$ and $B$ are two points on the boundary of the park such that $A B ( = a )$ subtends an angle of $60 ^ { \circ }$ at the foot of the tower, and the angle of elevation of the top of the tower from $A$ or $B$ is $30 ^ { \circ }$. The height of the tower is\\
(1) $\frac { 2 a } { \sqrt { 3 } }$\\
(2) $2 a \sqrt { 3 }$\\
(3) $\frac { a } { \sqrt { 3 } }$\\
(4) $a \sqrt { 3 }$

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