If the angle of elevation of a cloud from a point 200 m above a lake is 30 and the angle of depressi...........

Quantitative Aptitude (CGL) Coordinate Geometry

If the angle of elevation of a cloud from a point 200 m above a lake is 30 and the angle of depression of its reflection in the lake is 60. Then the height of the cloud above the lake is

100 m

200 m

300 m

400 m

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Explanation:

In triangle ACD, tan60=CD/AC; = > CD = 300*tan60;
Since, CD=AB;
Hence, tan30=MB/AB; = > MB = AB*tan30;
MB=200*tan60*tan30=200m.
The required height of cloud= MB+BD = 200+200=400 m