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Mathematics
Problem
An architectural spotlight is placed at coordinate
(
6
,
0
)
(6, 0)
(
6
,
0
)
on the floor. It shines two beams of light that are tangent to an elliptical stage feature described by
x
2
9
+
y
2
5
=
1
\frac{x^{2}}{9} + \frac{y^{2}}{5} = 1
9
x
2
+
5
y
2
=
1
. Calculate the tangent of the angle formed between the two light beams.
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