katieduck200 katieduck200
  • 20-07-2022
  • Mathematics
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Determine the measure of the indicated angle in the following triangle:

Determine the measure of the indicated angle in the following triangle class=

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jimrgrant1 jimrgrant1
  • 20-07-2022

Answer:

Θ ≈ 58°

Step-by-step explanation:

using the Cosine Rule in the triangle

cosΘ = [tex]\frac{80^2+60^2-70^2}{2(80)(60)}[/tex] = [tex]\frac{64000+3600-4900}{9600}[/tex] = [tex]\frac{5100}{9600}[/tex] = [tex]\frac{51}{96}[/tex] , then

Θ = [tex]cos^{-1}[/tex] ( [tex]\frac{51}{96}[/tex] ) ≈ 58° ( to the nearest degree )

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