9514 1404 393
Answer:
(C)
Step-by-step explanation:
The law of sines tells you ...
AB/sin(C) = AC/sin(B)
AB = AC·sin(C)/sin(B)
The area of the triangle in terms of sides and angles is ...
Area = (1/2)AB·AC·sin(A)
Using the above expression for AB and filling in values, we get ...
Area = (1/2)AC·sin(C)/sin(B)·AC·sin(A)
Area = 15·sin(67°)/(2·sin(65°))·15·sin(48°) . . . . . . matches choice C
