jee-main 2022 Q68

jee-main · India · session2_25jul_shift1 Sine and Cosine Rules Heights and distances / angle of elevation problem
A tower $PQ$ stands on a horizontal ground with base $Q$ on the ground. The point $R$ divides the tower in two parts such that $QR = 15$ m. If from a point $A$ on the ground the angle of elevation of $R$ is $60 ^ { \circ }$ and the part $PR$ of the tower subtends an angle of $15 ^ { \circ }$ at $A$, then the height of the tower is
(1) $5(2\sqrt { 3 } + 3)$ m
(2) $5(\sqrt { 3 } + 3)$ m
(3) $10(\sqrt { 3 } + 1)$ m
(4) $10(2\sqrt { 3 } + 1)$ m
A tower $PQ$ stands on a horizontal ground with base $Q$ on the ground. The point $R$ divides the tower in two parts such that $QR = 15$ m. If from a point $A$ on the ground the angle of elevation of $R$ is $60 ^ { \circ }$ and the part $PR$ of the tower subtends an angle of $15 ^ { \circ }$ at $A$, then the height of the tower is\\
(1) $5(2\sqrt { 3 } + 3)$ m\\
(2) $5(\sqrt { 3 } + 3)$ m\\
(3) $10(\sqrt { 3 } + 1)$ m\\
(4) $10(2\sqrt { 3 } + 1)$ m