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The angle of elevation of a cloud from a point 250   m above a lake is 15 o and angle of depression of its reflection in the lake is 45 o . The height of the cloud is

Options

  1. A250 3   m
  2. B250   m
  3. C250 3   m
  4. DNone of these

Correct answer

A. 250 3   m

Step-by-step solution

h = 250 α = 15 o θ = 45 o x = h sin ⁡ θ + α sin ⁡ θ - α = 250 sin ⁡ 60 o sin ⁡ 30 o = 250 3

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