Question

In the triangle, angle
is 89 degrees and angle
is 23 degrees. If side
c
has a length of 5centimeters, use the Law of Sines to find the length of side
b
. Round your answer to the nearest tenth ofa centimeter.
(1 point)
A C
12.8 cm
9.6 cm
5 cm
11.9 cm

Answer 1

Third angle = 180 - 89 - 23 = 68°. Using Law of Sines with c = 5 opposite 23° and b opposite 68°:
b = 5 * sin(68°) / sin(23°) ≈ 5 * 0.92718 / 0.39073 ≈ 11.87 ≈ 11.9 cm.