Solve the Problem $10.7 \mathrm {~m}$ And $6.4 \mathrm {~m}$ She Knows That the Angle Between These Sides Is

Multiple Choice

Solve the problem.
-A painter is going to apply a special coating to a triangular metal plate on a new building. Two sides measure are $10.7 \mathrm {~m}$ and $6.4 \mathrm {~m}$ . She knows that the angle between these sides is $25.3 ^ { \circ }$ . What is the area of the surface she plans to cover with the coating? Round to the nearest square meter.

A) $13 \mathrm {~m} ^ { 2 }$
B) $31 \mathrm {~m} ^ { 2 }$
C) $15 \mathrm {~m} ^ { 2 }$
D) $33 \mathrm {~m} ^ { 2 }$