JEE PYQ: Heights And Distances Question 15
Question 15 - 2019 (12 Jan Shift 1)
If the angle of elevation of a cloud from a point P which is 25 m above a lake be $30°$ and the angle of depression of reflection of the cloud in the lake from P be $60°$, then the height of the cloud (in meters) from the surface of the lake is:
(1) $60$ (2) $50$ (3) $45$ (4) $42$
Show Answer
Answer: (2) $50$
Solution
$(h-25)\sqrt{3} = \frac{h+25}{\sqrt{3}} \Rightarrow h = 50$ m.