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2000 Harvard-MIT Mathematics Tournament
41
41
Part of
2000 Harvard-MIT Mathematics Tournament
Problems
(1)
2000 Guts #41: Angles of inclination
Source:
10/25/2014
A person observes a building of height
h
h
h
at an angle of inclination
α
\alpha
α
from a point on the ground. After walking a distance
a
a
a
towards it, the angle is now
2
α
2\alpha
2
α
, and walking a further distance
b
b
b
causes it to increase to
3
α
3\alpha
3
α
. Find
h
h
h
in terms of
a
a
a
and
b
b
b
.