Question

if the angle of elevation of a cloud from a point 10 metres above a lake is 30degree and the angle of depression of its reflection in the lake is 60degree find the height of the cloud from the surface of lake. please reply fast

Answer 1

Hi buddy

Here is your answer

☑️ Let AO = H

Let AO = H CD = OB = 60m

Let AO = H CD = OB = 60mA'B = AB = 60 + H

Let AO = H CD = OB = 60mA'B = AB = 60 + HIn Δ AOD,

Let AO = H CD = OB = 60mA'B = AB = 60 + HIn Δ AOD, ⇒ 120 + H = 3H

Let AO = H CD = OB = 60mA'B = AB = 60 + HIn Δ AOD, ⇒ 120 + H = 3H ⇒ 2 H = 120

Let AO = H CD = OB = 60mA'B = AB = 60 + HIn Δ AOD, ⇒ 120 + H = 3H ⇒ 2 H = 120 ⇒ H = 60 m

Let AO = H CD = OB = 60mA'B = AB = 60 + HIn Δ AOD, ⇒ 120 + H = 3H ⇒ 2 H = 120 ⇒ H = 60 mThus, height of the cloud above the lake = AB + A'B = 60 + 60 = 120