Question

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.​

Answer 1

Answer:

Step-by-step explanation:

The figure will look like a rectangle of one side length as 8 m and a triangle is kept above the rectangle making an angle of 60°.

tan 30° = Height/Base

1/√3 = 8/(Distance of the hill from the ship)

∴ Distance of the hill from the ship = 8√3 m          ←ANSWER

tan 60° = Height/Base

√3 = (Height of the hill above the ship)/8√3

∴ Height of the hill above the ship = 8√3 × √3

           "                                "              = 24 m

∴ Total height of the hill = 24 m + 8 m

       "                       "         = 32 m                 ←ANSWER

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Answer 2

Answer:

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