tmblossom
tmblossom tmblossom
  • 02-10-2020
  • Mathematics
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To the nearest degree, what i’d the measure of angle Z?
A. 30
B. 32
C. 47
D. 49

To the nearest degree what id the measure of angle Z A 30 B 32 C 47 D 49 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 02-10-2020

Answer:

C

Step-by-step explanation:

Using the cosine rule

cosZ = [tex]\frac{7^2+8^2-6^2}{2(7)(8)}[/tex] = [tex]\frac{49+64-36}{112}[/tex] = [tex]\frac{77}{112}[/tex] , thus

Z = [tex]cos^{-1}[/tex] ([tex]\frac{77}{112}[/tex] ) ≈ 47° ( to the nearest degree ) → C

         

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