Question

Case study: Mirage in deserts

To a distant observer, the light appears to be coming from somewhere below the ground. The observer naturally assumes that light is being reflected from the ground, say, by a pool of water near the tall object. Such inverted images of distant tall objects cause an optical illusion to the observer. This phenomenon is called mirage. This type of mirage is especially common in hot deserts. Based on the above facts, answer the following question :

 A diver at a depth 12 m inside water `(a_(µω) = 4/3)` sees the sky in a cone of semi-vertical angle

Options

• `"sin"^-1 4/3`

• `"tan"^-1 4/3`

• `"sin"^-1 3 /4`

• 90°

Answer 1

`"sin"^-1(3/4)`

Explanation - 
`"a"_(muω) = 1/("Sin"  "C") => "Sin"   "C" = 1/"a"_(µω) => "C" = "sin"^-1(1/"a"_(µω))`