respectively. Prove that the height of the tower is ianß-tanss0. The

1.	respectively. Prove that the height of the tower is ianß-tanss0. The angle of elevation of a cloudfrom a point 60m above a lake is 30- and theangle ofdepression of thereflection of the cloud in the lake is 60° Find the height of the cloud from the surfaće of the lake.ircle
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 hit like if you find it useful

respectively. Prove that the height of the tower is ianß-tanss0. The angle of elevation of a cloudfrom a point 60m above a lake is 30- and theangle ofdepression of thereflection of the cloud in the lake is 60° Find the height of the cloud from the surfaće of the lake.ircle

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

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