Mathematics: The measures of three parts of triangle ABC are given in the diagram. What is AC, correct to two decimal places? A. 2.55 B. 5.01 C. 5.11 D. 6.74

75 is the answer I have the same question as you...

The measures of three parts of triangle ABC are

gstinson98

18.01.2022

Option B. 5.01 units

Step-by-step explanation:

we know that

Applying the law of sines

$\frac{c}{sin(C)}=\frac{b}{sin(B)}$

we have

$c=AB=3.61\ units\\C=41.82^o\\B=67.62^o\\b=AC$

substitute the given values

$\frac{3.61}{sin(41.82^o)}=\frac{AC}{sin(67.62^o)}$

$AC=\frac{3.61}{sin(41.82^o)}=sin(67.62^o)$

$AC=5.01\ units$

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