Question

the angle of elevation of a cloud from a point 60m above a lake is 30 degree and the angle of depression of the reflection of cloud in the lake is 60 degree. find the height of the cloud?​

Answer 1

Answer:

Use the formulas related to trigonometry.

Step-by-step explanation:

1) find tan of cloud .

we have height of cloud from 60 m above lake

so add that height to what we find .

2) You got the correct answer .

Answer 2

let AO =H

CD=OB=60

in Triangle AOD

tan 30°= AO\OD=H/OD

OD=√3H

In Triangle AOD

tan 60°= OA/OD=OB+BA/OD

√3=60+60 / ✓3h = 120+H/√3H

120+H =3h

2H=120°

H=60°