Question
in the triangle shown, mC = 38 degrees and c = 22 mi. Which equation shows how the Law of Sines can be used to find a?
(1 point)
(1 point)
Answers
GPT-4o mini
To use the Law of Sines to find side \( a \) in the triangle, you can set up the equation based on the Law of Sines, which states:
\[
\frac{a}{\sin(A)} = \frac{c}{\sin(C)}
\]
Here, \( C \) is given as \( 38^\circ \) and \( c \) is given as \( 22 \) mi. To solve for \( a \), you'll need to find the measure of angle \( A \) first.
So, rearranging the equation to solve for \( a \):
\[
a = \frac{c \cdot \sin(A)}{\sin(C)}
\]
After substituting \( C = 38^\circ \) and \( c = 22 \):
\[
a = \frac{22 \cdot \sin(A)}{\sin(38^\circ)}
\]
This is the equation you would use to find \( a \) using the Law of Sines. Here, you will need the measure of angle \( A \) to proceed with your calculation.
\[
\frac{a}{\sin(A)} = \frac{c}{\sin(C)}
\]
Here, \( C \) is given as \( 38^\circ \) and \( c \) is given as \( 22 \) mi. To solve for \( a \), you'll need to find the measure of angle \( A \) first.
So, rearranging the equation to solve for \( a \):
\[
a = \frac{c \cdot \sin(A)}{\sin(C)}
\]
After substituting \( C = 38^\circ \) and \( c = 22 \):
\[
a = \frac{22 \cdot \sin(A)}{\sin(38^\circ)}
\]
This is the equation you would use to find \( a \) using the Law of Sines. Here, you will need the measure of angle \( A \) to proceed with your calculation.