Question

some one plz help me finding 23 question

Answer 1



A is the position of the cloud , B is the point 200m above the lake and F is the reflection of A in the lake.

Now, AE = EF

=> EF = (200 + m)

Now, from triangle ABC we have,

BC = m cot 300 --- (i)

in triangle CFB we have,

CF = 200 + (200 + m)

= (400 + m) ms

so, BC = (400 + m) cot 600 --(ii)

From (i) and (ii) we get,

(400 + m) cot 600 = m cot 300

=> (400 + m) x 1/root3 = m x root 3

=> 400 + m = 3m

=> 2m = 400

=> m = 200

Hence, height of the cloud = AE = 200 + m = 200 + 200 = 400 metres