There is a ship which is moving away from an iceberg 150 m high, takes 2 mins to

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There is a ship which is moving away from an iceberg 150 m high, takes 2 mins to change the angle of elevation of the top of the iceberg from 60 $^{\circ}$ to 45 $^{\circ}$ . What is the speed of the ship?

Options:

A . 2.46 kmph

B . 1.3 kmph

C . 1.9 kmph

D . 1.7 kmph

Answer: Option C
:
C

There Is A Ship Which Is Moving Away From An Iceberg 150 M H...

In a 45-45-90 triangle, sides are in the ratio 1:1:

\sqrt{2}

Thus OB= 150
In a 30-60-90 triangle, sides are in the ration 1:

\sqrt{3}

:2
Thus OA =

\frac{50}{\sqrt{3}}

Distance travelled in 2 mins = AB = 150- 50

\sqrt{3}

= 63.4 m
speed =

(\frac{63.4}{2})

\times

(\frac{60}{1000})

= 1.9 kmph

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