Question

the angle of elevation of a cloudfrom a point is 60M above the surface of the water is of a lake is 30 degrees and the angle of depression of its shadow from the same point is 60 degree find the height of the cloud from then surface of water

Answer 1

Answer:

Step-by-step explanation:

Answer 2

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