9514 1404 393
Answer:
A) B = 37.2°, b = 309.1, c = 382.3
Explanation:
You know the third angle must be ...
B = 180° -131.6° -11.2°
B = 37.2° . . . . . . eliminates choice D
You know the two missing sides are both longer than 99.3, eliminating choice C.
Since angle C is the largest angle, side c is the longest side, eliminating choice B.
By the process of elimination, we know the correct choice is A.
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The Law of Sines will tell you the length of side C is related to the other triangle values by ...
c/sin(C) = a/sin(A)
c = (99.3 ft)×sin(131.6°)/sin(11.2°)
c ≈ 382.3 ft . . . . matches choice A