Question

pls fast
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the angle of elevation of a cloud from the point p 60 m above the surface of a lake is 30 and the angle of depression of the reflection of the cloud in the lake at p is 60 find the height of the cloud from the surface of the lake

Answer 1

Let AO=H
CD=OB=60m
A'B=AB=(60+H)m

In triangke AOD,
tan30'=AO/OD=H/OD

H=OD/√3
OD=√3 H

Now, in triangle A'OD,
tan60'=OA'/OD=(OB+BA')/OD
√3=(60+60+H)/√3 H
    =(120+H)/√3 H
 =>120+H=3H
      2H=120
       H=60m

Thus, height of the cloud above the lake = AB+A'B
                                                                 =(60+60)
                                                                 = 120m


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Answer 2

Answer:

Step-by-step explanation:

I have done it with respect to the question in the pic where CD Is 100 and not 60....