Answer:
[tex]sin(50\°)=\frac{3}{c}[/tex]
Step-by-step explanation:
The missing information is
- a to c is 3m
.
- c to b is a
.
- b to a is c and ab is 50 degrees.
The image attached shows a representation of the situation.
Notice that c is the hypothenuse of the triangle, and we know the measure of one angle and its opposite leg, so that allow us to use the sine trigonometric reason.
[tex]sin(50\°)=\frac{opposite \ leg}{hypothenuse}[/tex]
[tex]sin(50\°)=\frac{3}{c}[/tex]
Therefore, the expression that can be used to find the side c is
[tex]sin(50\°)=\frac{3}{c}[/tex]
