Solve the Problem $t = 62 - 30 \cos \frac { x \pi } { 6 }$

Solve the problem.
-The maximum afternoon temperature in Granderson is modeled by $t = 62 - 30 \cos \frac { x \pi } { 6 }$ where $t$ represents the maximum afternoon temperature in degrees Fahrenheit in month $x$ , with $x = 0$ representing January, $x = 1$ representing February, and so on. Find the maximum afternoon temperature in June.

A) $88 ^ { \circ } \mathrm { F }$
B) $87 ^ { \circ } \mathrm { F }$
C) $36 ^ { \circ } \mathrm { F }$
D) $92 ^ { \circ } \mathrm { F }$

Correct Answer:

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