BrittanyR137089 BrittanyR137089
  • 25-10-2022
  • Mathematics
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In a right triangle, if the hypotenuse is equal to 16 feet and the side adjacent to ∠θ is equal to 5 feet, what is the approximate measurement of ∠θ?

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ArabellH76369 ArabellH76369
  • 25-10-2022

We have the diagram:

We use the trigonometric identity cosine:

[tex]\cos\theta=\frac{adjacent}{hypotenuse}[/tex]

Substitute the values:

[tex]\begin{gathered} \cos\theta=\frac{5}{16} \\ \theta=\cos^{-1}(\frac{5}{16})=71.79 \end{gathered}[/tex]

Answer: 71.79°

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