The angle of elevation of a cloud from a point 60 m above the surface

1.	The angle of elevation of a cloud from a point 60 m above the surface of the water of a lakeis 30° and the angle of depression of its shadow from the same point in water of lake is 60Find the height of the cloud from the surface of water.
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 which of the chapters given below ABC order should fill the empty sector in circle

The angle of elevation of a cloud from a point 60 m above the surface of the water of a lakeis 30° and the angle of depression of its shadow from the same point in water of lake is 60Find the height of the cloud from the surface of water.

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

which of the chapters given below ABC order should fill the empty sector in circle