Given ΔABC with ∠ B= 85°, ∠C =47°, and a = 19 inches, what is the length of b?

A.) 11.577 inches
B.) 14.321 inches
C.) 20.108 inches
D.) 25.470 inches

Question

Given ΔABC with ∠ B= 85°,  ∠C =47°, and a = 19 inches, what is the length of b?

A.) 11.577 inches
B.) 14.321 inches
C.) 20.108 inches
D.) 25.470 inches

Vocaloid · Answer

sketch of the triangle. not to scale. I've taken the liberty of calculating angle A by subtracting 180 - angle B - angle C.

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set up the law of sines, sin(A)/a = sin(B)/b --> sin(48)/19 = sin(85)/b solve for b

kekeman · Answer

@vocaloid wrote:

sketch of the triangle. not to scale. I've taken the liberty of calculating angle A by subtracting 180 - angle B - angle C. Created with RaphaëlABC8547 dd48 da19bcReply Using Drawing set up the law of sines, sin(A)/a = sin(B)/b --> sin(48)/19 = sin(85)/b solve for b

Length of b = 25.470

Vocaloid · Answer

good