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Debora [2.8K]
3 years ago
9

Trigonometry anyone? Treat urself haha

Mathematics
1 answer:
Butoxors [25]3 years ago
5 0

Answer:

AC = 4.34 cm

Step-by-step explanation:

You have an angle and its opposite side. That allows you to establish a ratio in the law of sines, so use the law of sines.

\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin B}

\dfrac{8.15~cm}{\sin 110^\circ} = \dfrac{AC}{\sin 30^\circ}

AC = \dfrac{8.15~cm \times \sin 30^\circ}{\sin 110^\circ}

AC = 4.34~cm

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