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

Question

3 years ago

14

C. 5.11 D. 6.74

2 answers:

maksim [4K] · Answer 1 · 2022-07-22T17:34:04+03:00

8 0

Option B. 5.01 units

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White raven [17] · Answer 2 · 2022-07-22T15:56:39+03:00

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

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

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

$AC=5.01\ units$