The man standing on the deck of a ship, which is 10m above the water level, observes the angle of elevation of the top of a hill as 60° as 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.
a) 22m
b) 30m
c) 40m
d) 100m
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Yiri29:
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Hola Mate♥...
Let AB be the ship and CD will be the hill.
Let BD = x m.
➡In ∆ABD,
10/x = tan 30°
10/x = 1/√3
x = 10/√3
➡In right ∆CEA,
h/AE = tan 60°
h/10√3 = √3/1
h= 30m
h of the hill = h+10 = 30+10=40m...
i hope it will helps you☺✌✌
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