Question

Please solve a problem of height and distance----- Upgradation of a cloud from a point above 60 meters above the surface of a lake`s water is 30°, and the dew point of cloud's in the lake from that point of 60° What is the height of cloud`s from the surface of the cloud`s?

Answer 1

Answer:

Step-by-step explanationLet 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