SOLUTION: a=7.5,c=2.3,B=14.1 ° solve the triangle

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Question 1131840: a=7.5,c=2.3,B=14.1 ° solve the triangle
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
This is just like the other example. Same variables but different values.

https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.1131841.html
https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.1131841.html

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

solve triangle with:
a=7.5
c=2.3
B=14.1+°

use the Law of Cosines to find side b

b=sqrt%2856.25%2B5.29-34.5%2A0.969872%29
b=sqrt%2861.54-33.460584%29
b=sqrt%2828.079416%29
b=5.2990014
b=5.299
use the Law of Sines to find angle C
a%2Fsin%28A%29=b%2Fsin%28B%29
2.3%2Fsin%28C%29=5.299%2Fsin%2814.1%29
2.3%2Fsin%28C%29=5.299%2F0.243615
2.3%2Fsin%28C%29=21.751534183034706
sin%28C%29=2.3%2F21.751534183034706
sin%28C%29=0.10573966786186073039109207653681
C=sin%5E-1%280.10573966786186073039109207653681%29
C=6.07°
and use the sum of the angles in triangle to find angle A
A=180-%2814.1%2B6.07%29°
A=180-20.7°
A=159.93°