Here is how to work the problem... basically you solve for one of the variables in one of the problems and then use substitution into the other. once you have both answers you substitute them both Into the last equation to solve.
Hi can somebody please answer this question for me by matching the definitions to the five math words??? I really need help sens
e I don’t understand and it would mean a lot if u answered please and thanks!
1 answer:
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Answer:
1. c = 28.1, A = 19°, C = 144°
2. c = 2.0, A = 161°, C = 2°
Step-by-step explanation:
In general, if the given angle is not opposite the longest side, there will be two solutions. That is the case here.
Angle A can be found from the law of sines. It will be ...
A = arcsin(a/b·sin(b)) = arcsin(15.73/13.8·sin(17°)) ≈ arcsin(0.333261) ≈ 19.46°
or the supplement of that, 160.54°.
Angle C will be the angle required to make the sum of angles be 180°, either 143.53° or 2.47°.
Side c will be ...
c = b·sin(C)/sin(B) ≈ 47.2002×sin(C)
either 28.053 or 2.032.
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There are two possible triangles:
(A, C, c) = (19°, 144°, 28.1) or (161°, 2°, 2.0)
