## anonymous one year ago help and i will give a medal In ΔABC, if the lengths of sides a and c are 8 centimeters and 16 centimeters, respectively, and the measure of ∠C is 35°, what is the measure of ∠A to two decimal places? a.16.67° b.17.50° c.26.57° d.35.53

1. TrojanPoem

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2. anonymous

what forula should i use sine or cosine

3. anonymous

forula*

4. anonymous

formula*

5. TrojanPoem

$\frac{ a }{ \sin a } = \frac{ c }{ \sin c }$ $\sin a = \frac{ a \sin c }{ c } = \frac{ 8 \times \sin 35 }{ 16 } \approx 0.287$ $\sin^{-1} a = 16, 39$

6. anonymous

so the answer would be 16.67

7. TrojanPoem

Sine will be easier although no thing is restricting you from using the cosine

8. TrojanPoem

yea, approximately.

9. anonymous

okay thank you there's your medal

10. TrojanPoem

No problem.