Question

If B = 49°13' and b = 10, find a
A) 4.6
B) 8.6
C) 5.4
D) 6.5

Answer 1

To find a, use the law of sines by plugging in the values for b and the angle B to calculate the length of side a, Therefore, the correct answer would be none of the options provided.

Step-by-step explanation:

To find a, we can use the law of sines, which states that the ratio of the sine of an angle to the length of the opposite side is the same for all angles in a triangle. In this case, we have the angle B and the side b, so we can use the formula:

a/sin(A) = b/sin(B)

Let's plug in the values:

a/sin(A) = 10/sin(49°13')

a/sin(A) ≈ 10/0.7527

a ≈ 13.29

So the answer is approximately 13.29, which is not given as an option. Therefore, the correct answer would be none of the options provided.