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In triangle ABC, B = 90 degrees, and AC = 13 cm.

Determine:

A) BC if C = 17 degrees. B) A if BC = 6cm .

 Jun 9, 2019
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In triangle ABC, B = 90 degrees, and AC = 13 cm.

Determine:

A) BC if C = 17 degrees. B) A if BC = 6cm .

 

 

A) If C = 17°  then  A = 90 -17  = 73°

 

By the Law of Sines

 

BC / sin 73  =  AC / sin90

BC / sin 73 = 13/1

BC = 13sin(73)    ≈  12.4

 

B)  A if BC = 6

 

Again by the Law of Sines

 

sin A / BC  = sin90 / AC

sin A / 6 = 1 /13

sin A = 6/13      take the sine inverse to find angle A

arcsin (6/13) = A ≈ 27.5°

 

 

cool cool cool

 Jun 9, 2019

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