Question

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

Answer 1

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:

`1rad=\frac{180\text{\degree}}{\pi}`

Therefore, 90 degrees to radians is:

`90\text{\degree}\cdot\frac{\pi}{180\text{\degree}}=(\pi)/(2)\approx1.57080`

By definition, the sum of the interior angles of a triangle is 180 degrees. Knowing that:

`180\text{\degree=}\pi\approx3.14159`

You can set up the following equation in order to find the measure of the angle α:

`\alpha=3.14159-1-1.57080`
`\alpha=4.71239\text{ }rad`

Use the following to find the lengths: