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Math Prize For Girls Problems
2021 Math Prize for Girls Problems
16
16
Part of
2021 Math Prize for Girls Problems
Problems
(1)
Math Prize 2021 Problem 16
Source:
9/19/2021
Let
G
G
G
be the set of points
(
x
,
y
)
(x, y)
(
x
,
y
)
such that
x
x
x
and
y
y
y
are positive integers less than or equal to 20. Say that a ray in the coordinate plane is ocular if it starts at
(
0
,
0
)
(0, 0)
(
0
,
0
)
and passes through at least one point in
G
G
G
. Let
A
A
A
be the set of angle measures of acute angles formed by two distinct ocular rays. Determine
min
a
∈
A
tan
a
.
\min_{a \in A} \tan a.
a
∈
A
min
tan
a
.
Math Prize for Girls