Question

In ΔUVW, the measure of ∠W=90°, VW = 32 feet, and WU = 78 feet. Find the measure of ∠V to the nearest degree.

Answer 1

Answer:
`67.68^(\circ)`

Explanation:

Given

`\angle W=90^(\circ)`

`VW=32\ ft`

`WU=78\ ft`

from the figure, we can write

`\Rightarrow \tan v=(UW)/(VW)\\\\\Rightarrow \tan v=(78)/(32)\\\\\Rightarrow \tan v=2.437\\\Rightarrow v=\tan^-1(2.437)\\\Rightarrow v=67.68^(\circ)`