Answer:
68°
Step-by-step explanation:
Equations:
To solve for y we have to use the sine rule which is defined as:
[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]
Side a is opposite from angle A, side b is opposite from side B, etc.
Solving for y:
Let's say angle A was the angle we are trying to find. Then we can re-write the sine rule as:
[tex]\frac{sin(y)}{250} =\frac{sin(48)}{200}[/tex]
Let's re-arrange this for the angle y:
[tex]sin(y)=250 * \frac{sin(48)}{200} \\y=sin^-1(250 * \frac{sin48}{200} )[/tex]
Typing this into a calculator gives the answer: [tex]y = 68.26...[/tex] which is 68 degrees rounded to the nearest whole degree.
