18. The angle of elevation of the top of a tower from the foot of a house, situated at a distance of 20,
from the tower is 60°. From the top of the house the angle of elevation of the top of the tower is te
Find the height of house and tower. Step by step explanations please .correct answer will be marked as brainliest
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Step-by-step explanation:
Let AB be the tower and CD be the hill. Then, ∠ACB=30 o
,∠CAD=60 o
and AB=50 m.
Let CD=x m
In right △BAC, we have,
cot30 = AB / AC
=
50
AC
AC=50 3m
In right △ACD, we have,
tan60 o = AC /CD
3
=
50
3
x
x=50×3=150 m
Therefore, the height of the hill is 150 m.
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