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Mathematics
Problem
Consider a vertical tower
P
Q
PQ
P
Q
where
P
P
P
is the top and
Q
Q
Q
is the base. Two points
A
A
A
and
B
B
B
lie on the horizontal ground such that
Q
Q
Q
is the midpoint of segment
A
B
AB
A
B
. If the angle of elevation of
P
P
P
from
A
A
A
is
α
\alpha
α
and from
B
B
B
is
β
\beta
β
, prove that
α
=
β
\alpha = \beta
α
=
β
.
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