Question

If Z_A =70°, Z_B =45°, and a=5 cm, then the length of b, to the nearest hundredth of a centimeter, is:

A. 6.64 cm
B. 3.21 cm
C. 4.82 cm
D. 3.76 cm

Answer 1

To find the length of b, we can use the Law of Sines. In triangle ABC, we have the following angles: Z_A = 70°, Z_B = 45°, and Z_C = 180° - 70° - 45° = 65°. Using the Law of Sines, we have: sin(Z_C) / c = sin(Z_B) / b. b = (5 * sin(45°)) / sin(65°) = 3.76 cm (to the nearest hundredth of a centimeter).

Step-by-step explanation:

To find the length of b, we can use the Law of Sines. In triangle ABC, we have the following angles: ZA = 70°, ZB = 45°, and ZC = 180° - 70° - 45° = 65°. Using the Law of Sines, we have:

sin(ZC) / c = sin(ZB) / b

sin(65°) / 5 = sin(45°) / b

b = (5 * sin(45°)) / sin(65°) = 3.76 cm (to the nearest hundredth of a centimeter).