jee-main 2020 Q59

jee-main · India · session2_04sep_shift2 Sine and Cosine Rules Heights and distances / angle of elevation problem
The angle of elevation of a cloud $C$ from a point $P$, $200$ m above a still lake is $30 ^ { \circ }$. If the angle of depression of the image of $C$ in the lake from the point $P$ is $60 ^ { \circ }$, then $PC$ (in m) is equal to
(1) 100
(2) $200 \sqrt { 3 }$
(3) 400
(4) $400 \sqrt { 3 }$ 
The angle of elevation of a cloud $C$ from a point $P$, $200$ m above a still lake is $30 ^ { \circ }$. If the angle of depression of the image of $C$ in the lake from the point $P$ is $60 ^ { \circ }$, then $PC$ (in m) is equal to\\
(1) 100\\
(2) $200 \sqrt { 3 }$\\
(3) 400\\
(4) $400 \sqrt { 3 }$
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