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Sinusoidal models word problems

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Problem

M(t) models the distance (in millions of km) from Mars to the Sun t days after it's at its furthest point. Here, t is entered in radians.
M(t)=21cos(2π687t)+228
How many days later does Mars first reach 220 million km from the Sun?
Round your final answer to the nearest whole day.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
days
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