A man standing on the deck of a ship which is 8 m above
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A man standing on the deck of a ship, which is 8 m above water level. He observes the angle of elevation of the top of a hill as 60∘ and the angle of depression of the base of the hill as 30∘. Calculate the distance of the hill from the ship and the height of the hill.
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Right Answer is:
SOLUTION
Let the man be standing on the deck of ship at point a such that AB = 8 m & let CE be the hill.
In △ADE, tan 60o=DEAD
⇒√3=hx
⇒h=√3 x
In △ADC, tan 30o=CDAD
⇒1√3=8x
⇒x=8√3 m
So, h=√3 x=√3 ×8√3=24 m
Hence, the height of the hill is 8 + 24 = 32 m and distance of the hill from the ship is 8√3 m.
