Answer:
The measure of [tex]x_{w}[/tex] is 4 units.
Step-by-step explanation:
According to the definition of tangent, it is equal to:
[tex]\tan f = \frac{y_{w}}{x_{w}}[/tex]
Where:
[tex]f[/tex] - Angle, measured in sexagesimal degrees.
[tex]x_{w}[/tex] - Adjacent side, measured in units.
[tex]y_{w}[/tex] - Opposite side, measured in units.
If [tex]\tan f = \frac{2}{1}[/tex] and [tex]y_{w} = 8\,units[/tex], the adjacent side is:
[tex]x_{w} = \frac{y_{w}}{\tan f}[/tex]
[tex]x_{w} = \frac{8\,units}{\frac{2}{1} }[/tex]
[tex]x_{w} = 4\,units[/tex]
The measure of [tex]x_{w}[/tex] is 4 units.
