Question

Find the length of side b of the triangle with A = 48 degrees and a = 11m, and B = 56 degrees.

A) 9.47 m
B) 6.22 m
C) 7.89 m
D) 11.00 m

Answer 1

Using the Law of Sines, b should be approximately 12.38m when solved with the given values a = 11m and angles A = 48 degrees and B = 56 degrees. However, this value does not match any of the provided options, suggesting there might be an error in the question or the options provided.

Step-by-step explanation:

The student's question is asking to find the length of side b of a triangle given the length of side a and the angles A and B. To solve for the length of side b, we can use the Law of Sines, which states:

\( \frac{a}{\sin A} = \frac{b}{\sin B} \)

Given that a = 11m, A = 48 degrees, and B = 56 degrees, we can plug these values into the equation and solve for b:

\( b = \frac{a \times \sin B}{\sin A} = \frac{11m \times \sin 56 degrees}{\sin 48 degrees} \)

After calculating the right side of the equation, we get that b ≈ 12.38m, which does not match any of the given options (A, B, C, D).