Question

Ques of Application of Trigonometry​

Answer 1

Answer:

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Step-by-step explanation:

If the vertical height of cloud from level of A is H, then the reflection is seen from A at a depth of H+20 from ground level in the lake.

 

we have,  tan 30 = H/AD = 1/√3   or   AD = H√3  ____________(1)

 

we have , tan60 = FD/AD  = (H+40)/AD = √3   or H+40 = AD√3  = 3H  __________(2)

[ we used AD = H√3 in above eqn.(2) using eqn.(1) ]

 

since,  H+40 = 3H,  we have  H = 20 m

 

Distance of cloud from A = AC = 2H = 40 m

MARK AS BRAINLIEST