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A light house...

Question

A light house of 120 m height is just visible above the horizon from a ship. The correct distance (m) between the ship and the light house considering combined correction for curvature and refraction, is

A

42.226

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B

39.098

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C

39098

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D

42229

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Solution

The correct option is D 42229

h= height of light house

= 120 m

Distance between ship and light house, considering combined correction for curvature and refraction,

$∵ h = 0.0673 d^{2}$

$\Rightarrow d = 3.855 \sqrt{h} k m$

$= 3.855 \sqrt{120}$

$= 42.229 k m = 42229 m$

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