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Byju's Answer
Standard X
Mathematics
Calculating Heights and Distances
The angles of...
Question
The angles of elevation of the top of a tower from the bottom and top of a building of height d are
β
and
α
respectively. Find the height of the tower.
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Solution
Given
∠
A
B
D
=
β
,
∠
E
C
D
=
α
,
B
C
=
d
,
A
B
=
E
C
A
B
=
A
D
tan
β
E
C
=
E
D
tan
α
=
A
D
−
d
tan
α
We know that
A
B
=
E
C
A
D
tan
β
=
A
D
−
d
tan
α
Height of the tower
A
D
=
d
tan
β
tan
β
−
tan
α
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