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RickGrimes46
RickGrimes46 RickGrimes46
  • 10-07-2016
  • Mathematics
Answered

Find the measure of B and C. Round the measure of angles to the nearest tenth.


B = 40°, C = 81.9°

B = 58.1°, C = 40°

B = 81.9°, C = 58.1°

B = 58.1°, C = 81.9°

Find the measure of B and C. Round the measure of angles to the nearest tenth. B = 40 , C = 81.9 B = 58.1 , C = 40 B = 81.9 , C = 58.1 B = 58.1 , C = 81.9 class=

Verified Answer :

caylus
caylus caylus
  • 10-07-2016

Hello,

a=|BC|,b=6,c=7

Theorem of Al Kashi  gives :
a²=b²+c²-2bc cos(40°)=6²+7²-267*cos 40°
==>a=4,5444765...

Law of sinus:
sin 40°/a=sin C/7==>sin C=0,9901059...==>C=81,933535≈81.9°
sin 40/a=sin B/6==>sin B=0,848662...==>B=58,0664649...≈58.1°

Answer D





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