Answer:
[tex]\displaystyle x=20.75585[/tex]
Step-by-step explanation:
Trigonometric Ratios
There are some trigonometric ratios that are defined in a right triangle. The given figure corresponds to a right triangle (with a 90° angle) and two measures are given: An angle of 34° and the length of a side that is opposite to the angle. We are required to find x, the adjacent side of the given angle.
The appropriate relation that we must use to find x is
[tex]\displaystyle tan34^o=\frac{14}{x}[/tex]
Solving for x
[tex]\displaystyle x=\frac{14}{tan34^o}[/tex]
[tex]\boxed{\displaystyle x=20.75585}[/tex]
