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  • 26-05-2021
  • Mathematics
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In ΔUVW, the measure of ∠W=90°, VW = 32 feet, and WU = 78 feet. Find the measure of ∠V to the nearest degree.

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  • 27-05-2021

Answer: [tex]67.68^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle W=90^{\circ}[/tex]

[tex]VW=32\ ft[/tex]

[tex]WU=78\ ft[/tex]

from the figure, we can write

[tex]\Rightarrow \tan v=\dfrac{UW}{VW}\\\\\Rightarrow \tan v=\dfrac{78}{32}\\\\\Rightarrow \tan v=2.437\\\Rightarrow v=\tan^-1(2.437)\\\Rightarrow v=67.68^{\circ}[/tex]

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