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SO CONFUSED PLEASE SOMEONE EXPLAIN! DUE SOON AND NEED HELP!!!!!!!! QUESTION IN PICTURE BELOW

SO CONFUSED PLEASE SOMEONE EXPLAIN! DUE SOON AND NEED HELP!!!!!!!! QUESTION IN PICTURE-example-1

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Answer:

=> Apply law of cosine


c^2=a^2+b^2-2abcos\left(C\right)

=> input value


z^2=6.5^2 + 9.4^2-\left(6.5\right)\left(9.4\right)\left(cos\left(131\right)\right)

=> simplify


z=√(\left(6.5^2+\:9.4^2\right)-\left(6.5\right)\left(9.4\right)\left(-0.65605902899\right))

=> calulcation


z=\sqrt{-61.1\cos \left(131^(\circ \:)\right)+130.61},\:z=-\sqrt{-61.1\cos \left(131^(\circ \:)\right)+130.61}

=> apply rule: Distance must be greater than 0

which is about 14.51828

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