Question

Find c. Round to the nearest tenth. Laws of sines

Answer 1

9514 1404 393

Answer:

c ≈ 56.3 cm

Explanation:

I find it convenient to turn the given equations upside down. Then you just need to multiply by sin(C) to get the solution.

c/sin(C) = b/sin(B)

c = b·sin(C)/sin(B) = (27 cm)sin(102°)/sin(28°)

c ≈ (27 cm)(0.978/0.469)

c ≈ 56.3 cm