Question

The angle of elevation of a cloud from a point 60m above a lake is 30° and
the angle of depression of the reflection of cloud in the lake is 60°. Find the
height of the cloud.​

Answer 1

Answer:

Step-by-step explanation:Ans is as follow

Answer 2

Answer:

120m

Step-by-step explanation:

Let B be the point of observation and C be the position of the cloud and F be it's reflection and BD be the line of site

consider ΔBCD

tan 30° = CD\BD= h/y = 1/√3

∴ y = h√3

consider ΔBDF

tan 60° = DF/BD = 60+60+h/y = √3

∴y = 120+h/√3

∴ 120+h/√3 = h√3

120 = 2h

∴ h = 60

∴the height of the cloud is 60+60 = 120m