A man on a deck of a ship 12m above water level observes the angle of elevation of the top pf a cliff is 60degree and the angle of depression of the base of the cliff is 30degree. Find the distance of the cliff from the ship and the height if the cliff .
Let AB be the deck of the ship. AB = 10 cm
Suppose CE be the cliff. C and E are the top and bottom of the cliff.
Let CE = h m.
Given, ∠EAD = 60° and ∠DAC = 30° .
CD = AB = 12 m
∴ DE = CE – CD = (h – 12) m
In ΔADE,
In ΔADC,
From (1) and (2), we have
Height of the cliff = 48 m
Distance of cliff from the ship = BC = AD =