The angle of elevation of the top of a hill from the foot of a tower is 60° and the angle of
elevation of the top of the tower from the foot of the hill is 30°
. If the tower is 50m high
what is the height of the hill.
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Answer:
150 m
tan 30 = 50/x (take distance between tower and hill is x)
1/root3 =50/x
x=50 root 3
tan60 = h / x ( h be the height of the hill)
root 3 =h/x
root 3 =h/50root3
root 3 × 50 root3 = h
50×3 = h (root3×root3=3)
h=150 m
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