The possible solutions using the Sine Law are given as follows:
Triangle A:
B = 50.26°
C = 79.74°
Triangle B:
B = 62.79°
C = 70.21°
What is the sine Rule?
The sine law asserts that the ratio of a triangle's side length to the sine of the opposing angle is the same for all three sides. The sine rule is another name for it.
What is the explanation for the above solution?
Triangle A
Given the sine law:
a/SinA = b/SinB
Hence
Sin B = (b/a) SinA
Sin B = 15/10 (Sin 50)
Sn B = (15/10) * 0.766
Sin B = 1.5 * 0.766
B = Sin⁻1 (1.14)
B = 50.26°
Hence, C =
180 - B - A
= 180 - 50.26 - 50
C = 79.74°
Solution B
Given the sine law:
a/SinA = b/SinB
Hence
Sin B = (b/a) SinA
Sin B = 2/1.6 (Sin 47)
Sn B = 1.25 * 0.73
Sin B = 0.9125
B = Sin⁻1 (0.9125)
B = 62.79°
Hence,
C = 180 - 62.79 - 47
C = 70.21°
Learn more about the Sine Law at;
https://brainly.com/question/12271113
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