Question

Find the side labeled X in the picture, then round to 5 decimal places.

Answer 1

Answer:

$\displaystyle x=20.75585$

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

$\displaystyle tan34^o=\frac{14}{x}$

Solving for x

$\displaystyle x=\frac{14}{tan34^o}$

$\boxed{\displaystyle x=20.75585}$