Option a: is the length of b
Explanation:
The angle of B is and
We need to determine the length of b.
First, let us determine the angle of A.
Since, ABC is a triangle, then all the angles add up to 180°
Thus, we have,
Thus, the angle of A is
Now, we shall determine the length of b using the sine law formula.
The formula for sine law is given by,
where ,
,
Thus, we have,
Simplifying, we get,
Multiplying both sides by 0.866, we get,
Multiplying the numerator, we have,
Dividing, we get,
Thus, the length of b is
Hence, Option a is the correct answer.