Solve the Problem $\mathrm { T }$ , In $\mathrm { F } ^ { \circ }$

Multiple Choice

Solve the problem.
-The mean air temperature $\mathrm { T }$ , in $\mathrm { F } ^ { \circ }$ , at Fairbanks, Alaska, on the nth day of the year, $1 \leq \mathrm { n } \leq 365$ , is approximated by: $\mathrm { T } = 37 \sin \left( \frac { 2 \pi } { 365 } ( \mathrm { n } - 101 ) \right) + 25$ . Find the temperature at Fairbanks on day 100, to the nearest tenth.

A) $24.4 ^ { \circ } \mathrm { F }$
B) $36.6 ^ { \circ } \mathrm { F }$
C) $21.4 ^ { \circ } \mathrm { F }$
D) $19.9 ^ { \circ } \mathrm { F }$