Question
Using the Law of Sines, which ratio can help you correctly find the value of angle A ? (1 point) Responses sin A15=sin 85°10 Start Fraction sine upper A over 15 End Fraction equals Start Fraction sine 85 degrees over 10 End Fraction sin A15=sin 85°40 Start Fraction sine upper A over 15 End Fraction equals Start Fraction sine 85 degrees over 40 End Fraction sin A15=sin 40°10 Start Fraction sine upper A over 15 End Fraction equals Start Fraction sine 40 degrees over 10 End Fraction sin A10=sin 85°15
Answers
GPT-4o mini
To find the value of angle \( A \) using the Law of Sines, we can use the following ratio:
\[
\frac{\sin A}{15} = \frac{\sin 85^\circ}{10}
\]
This means that the correct response is:
\[
\sin A \cdot \frac{1}{15} = \sin 85^\circ \cdot \frac{1}{10}
\]
To find angle \( A \), you can rearrange this equation to solve for \( \sin A \):
\[
\sin A = 15 \cdot \frac{\sin 85^\circ}{10}
\]
This gives you the necessary ratio to calculate \( A \).
So, the correct option is:
**\(\frac{\sin A}{15} = \frac{\sin 85^\circ}{10}\)**
\[
\frac{\sin A}{15} = \frac{\sin 85^\circ}{10}
\]
This means that the correct response is:
\[
\sin A \cdot \frac{1}{15} = \sin 85^\circ \cdot \frac{1}{10}
\]
To find angle \( A \), you can rearrange this equation to solve for \( \sin A \):
\[
\sin A = 15 \cdot \frac{\sin 85^\circ}{10}
\]
This gives you the necessary ratio to calculate \( A \).
So, the correct option is:
**\(\frac{\sin A}{15} = \frac{\sin 85^\circ}{10}\)**