Question

A man standing on the deck of the ship which is 10 m above the sea level, observes the angle of elevation of the
top of the cloud as 30° and angle of depression of its reflection in the sea was found to be 60°. Find the height
of the cloud and also the horizontal distance of the cloud from the ship.

Answer 1

Answer:

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Answer 2

HEY!!!

Let AB=10m, cliff of a ship where man is standing

Let AB=10m, cliff of a ship where man is standingLet CE be the hill.

Let AB=10m, cliff of a ship where man is standingLet CE be the hill.CD=AB=10m

In △ADE

In △ADE tan60°= h/x

$\sqrt{3} x = h$

$x = \frac{h}{ \sqrt{3} }$

In △ABC

In △ABC tan30°=

$\frac{10}{x}$

$\frac{1}{ \sqrt{3} } = \frac{10}{x}$

$x = 10 \sqrt{3}$

We have two equations (1) & (2), Multiplying them we get,

${x}^{2} = 10h$

h=30m

∴CE=CD+DE=10+30=40m