The angle of elevation of the top of a tower from two points distant s and t from its foot are complementary. Prove that the height of the tower is √st.
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Let complementary angles be
α and 90−α
tanα=
s
h
.....(i)
tan(90−α)=cotα=
t
h
....(ii)
multiply (i) and (ii)
tanα.cotα=
s
h
.
t
h
ts
h
2
=1
h=
st
Step-by-step explanation:
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