SomyaT4185 SomyaT4185
  • 29-10-2022
  • Mathematics
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We need detailed step by step directions on how to figure out the answer

We need detailed step by step directions on how to figure out the answer class=

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HamdiD466168 HamdiD466168
  • 29-10-2022

Given:

[tex]x=22\text{ ft ; }y=20\text{ ft ; z=}18\text{ ft}[/tex][tex]x^2=y^2+z^2-2yz\cos X[/tex][tex]\begin{gathered} 22^2=20^2+18^2-2(20)(18)\cos X \\ 484=400+324-720\cos X \\ 484=724-720\cos X \\ 720\cos X=724-484 \\ 720\cos X=240 \\ \cos X=\frac{240}{720} \\ \cos X=\frac{1}{3} \\ X=\cos ^{-1}(\frac{1}{3}) \\ X=70.53\degree \end{gathered}[/tex]

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