The deer population in a state park is modelled by $f(t)=50 \sin \left(\frac{\pi t}{6}\right)+230$ where $t$ is the number of months since January 1,2005 . If $0 \leq t \leq 12$, find the value(s) of $t$ at which the deer population is equal to 272 . Round your answer to the nearest tenth.

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The Answer of The deer population in a state park is modelled by $f(t)=50 \sin \left(\frac{\pi t}{6}\right)+230$ where $t$ is the number of months since January 1,2005 . If $0 \leq t \leq 12$, find the value(s) of $t$ at which the deer population is equal to 272 . Round your answer to the nearest tenth.

The Deer Population in a State Park Is Modelled By f(t)=50