The angle of elevation of a stationary cloud from a point 2500 m above a lake is 15º and the angle of depression of its reflection in the lake is 45º. The height of cloud above the lake level is

Engineering

Mathematics

problems on height and distance

Question

500 $\sqrt{3}$ m

2500 m

None of these

2500 $\sqrt{3}$ m

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

(H – h) cot 15º = (H + h) cot 45º

or H = $\frac{h (\cot 15 º + 1)}{(\cot 15 º - 1)}$

Since h = 2500 m and substitute

cot 15º = 2 + $\sqrt{3}$ we get, H = 2500 $\sqrt{3}$

Please subscribe our Youtube channel to unlock this solution.