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.The angle of elevation of the top of a tower from two points at a distance of x and y are complementary. The height of the tower is
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1
Step-by-step explanation:
Let the height of the tower be h
In right ΔABC
tanθ=
x
h
......................(1)
In right ΔABD
tan(90−θ)=
y
h
...................(2)
From (1) & (2) we get
tanθ×tan(90−θ)=
x
h
×
y
h
=>tanθ⋅cotθ=
xy
h
2
=>h
2
=xy
=>h=
xy
Answered by
1
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