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find ac. write your answer as an integer or as a decimal rounded to the…

Question

find ac.
write your answer as an integer or as a decimal rounded to the nearest tenth.
ac =
submit
work it out

Explanation:

Step1: Identify trigonometric ratio

We use sine: $\sin(C) = \frac{AB}{AC}$

Step2: Rearrange to solve for AC

$AC = \frac{AB}{\sin(C)}$

Step3: Substitute given values

$AB=6$, $\angle C=41^\circ$, so $AC = \frac{6}{\sin(41^\circ)}$

Step4: Calculate the value

$\sin(41^\circ) \approx 0.6561$, so $AC \approx \frac{6}{0.6561} \approx 9.1$

Answer:

$9.1$