MariposaC519950 MariposaC519950
  • 25-10-2022
  • Mathematics
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The measure of side VT is 60 inches. Find the length of side VProunded to the nearest tenth.

The measure of side VT is 60 inches Find the length of side VProunded to the nearest tenth class=

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ZariaE778470 ZariaE778470
  • 25-10-2022

It is important to notice that side VP is the hypothenuse of the triangle, and VT is the adjacent leg to 30°.

To find VP, we just have to use the cosine function

[tex]\begin{gathered} \cos 30=\frac{VT}{VP} \\ \cos 30=\frac{60}{VP} \\ VP=\frac{60}{\cos 30} \\ VP\approx69.3 \end{gathered}[/tex]

Hence, VP is 69.3 inches long.

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