QUESTION IMAGE
Question
find ac.
write your answer as an integer or as a decimal rounded to the nearest tenth.
ac =
submit
work it out
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 $AC \approx \frac{6}{0.6561} \approx 9.1$
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$9.1$