Question

Q30. The angle of elevation of the top of a hill at the foot of a tower is 60° and the angle of depression
from the top of the tower to the foot of the hill is 30°. If the tower is 50 m high, find the height of the
hill.​

Answer 1

tan 30° = height of tower / distance between them

1/√3 = 50 / d

d = 50√3 m --------(i)

tan 60° = height of hill / distance between them

√3 = h / 50√3 ----- [ from (i) ]

√3 × 50√3 = h

h = 50 × 3

h = 150 m

Answer: 150 meters

Answer 2

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