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sergiy2304 [10]
2 years ago
14

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

Mathematics
2 answers:
maksim [4K]2 years ago
8 0

Option B. 5.01 units

this is the right answer... got it on plato :)

ur welcome ;)

White raven [17]2 years ago
6 0

Answer:

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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