Question

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

Answer 1

Option B. 5.01 units

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Answer 2

Option B. 5.01 units

Explanation:

we know that

Applying the law of sines

`(c)/(sin(C))=(b)/(sin(B))`

we have

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

substitute the given values

`(3.61)/(sin(41.82^o))=(AC)/(sin(67.62^o))`

`AC=(3.61)/(sin(41.82^o))=sin(67.62^o)`

`AC=5.01\ units`