tmblossom
tmblossom tmblossom
  • 02-10-2020
  • Mathematics
contestada

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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