tuyfrese5rjr tuyfrese5rjr
  • 26-02-2020
  • Mathematics
contestada

what is the length of ac!!!

what is the length of ac class=

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Diatonic254
Diatonic254 Diatonic254
  • 04-03-2020

12.07 cm

Step-by-step explanation:

(1) We use the Law of Sines to find angle C

a / sin A = b / sin B = c / sin C

13.5 / Sin 81 = 8.2 / Sin C

13.67 = 8.2 / Sin C

Sin C = 8.2/13.67

C = Sin -1 0.5999

C = 37

(2)Then we find angle B

B = 180 – (37 + 81)

B = 62 degrees

(3)We use this angle and the Law of Sines to calculate side CA

13.67 = b / Sin 62

B = Sin 62 * 13.67

= 12.07 cm

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