# Modeling with sinusoidal functions: phase shift

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### Problem

The altitude of the International Space Station t minutes after its perigee (closest point), in kilometers, is given by
space, A, left parenthesis, t, right parenthesis, equals, 415, minus, sine, left parenthesis, start fraction, 2, pi, left parenthesis, t, plus, 23, point, 2, right parenthesis, divided by, 92, point, 8, end fraction, right parenthesis.
The International Space Station reaches its perigee once in every orbit.
How long does the International Space Station take to orbit the earth? Give an exact answer.
minutes
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