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

The measures of three parts of triangle ABC are given in the diagram What is AC correct to two decimal places A 255 B 501 C 511 D 674 class=

Respuesta :

Answer:

Option B. 5.01 units

Step-by-step explanation:

we know that

Applying the law of sines

[tex]\frac{c}{sin(C)}=\frac{b}{sin(B)}[/tex]

we have

[tex]c=AB=3.61\ units\\C=41.82^o\\B=67.62^o\\b=AC[/tex]

substitute the given values

[tex]\frac{3.61}{sin(41.82^o)}=\frac{AC}{sin(67.62^o)}[/tex]

[tex]AC=\frac{3.61}{sin(41.82^o)}=sin(67.62^o)[/tex]

[tex]AC=5.01\ units[/tex]

Option B. 5.01 units

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