Theangleofelevationofacloudfroma point 60 m above the surface of the w

1.	Theangleofelevationofacloudfroma point 60 m above the surface of the water óf nsis 30° and the angle of depression of its shadow from tFind the height of the cloud from the surface of waterhe same point in water of lake is 60
Answer» Let AO=HCD=OB=60mA'B=AB=(60+H)m In triangke AOD,tan30'=AO/OD=H/OD H=OD/√3OD=√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 Like my answer if you find it useful!

Theangleofelevationofacloudfroma point 60 m above the surface of the water óf nsis 30° and the angle of depression of its shadow from tFind the height of the cloud from the surface of waterhe same point in water of lake is 60

Answer»

Let AO=HCD=OB=60mA'B=AB=(60+H)m

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

H=OD/√3OD=√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

Like my answer if you find it useful!