College precalc:1) solve the triangle shown. Give angles in radians. Round side lengths to 5 decimal places.

Given the triangle shown in the picture, you can identify that the small square drawn inside of it indicates that that angle measure 90 degrees and, therefore, it is a Right Triangle.
In order to convert angles in degrees to angles in radians, you need to remember that:
[tex]1rad=\frac{180\text{\degree}}{\pi}[/tex]Therefore, 90 degrees to radians is:
[tex]90\text{\degree}\cdot\frac{\pi}{180\text{\degree}}=\frac{\pi}{2}\approx1.57080[/tex]By definition, the sum of the interior angles of a triangle is 180 degrees. Knowing that:
[tex]180\text{\degree=}\pi\approx3.14159[/tex]You can set up the following equation in order to find the measure of the angle α:
[tex]\alpha=3.14159-1-1.57080[/tex][tex]\alpha=4.71239\text{ }rad[/tex]Use the following to find the lengths:
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