# How do you find the angles of a right triangle given Triangle ABC with AB=5√26 BC=5, CA=25 and angle BCA is 90 degrees?

##### 1 Answer

Use

#### Explanation:

The trigonometric function

To solve for the value of *opposite* of this angle is *hypotenuse* is

So now we have

and we want to solve for *inverse* function of

Applying *undoes* the

I'll leave

(Hint: there's a really easy shortcut.)

Remember: trig functions take in an angle and return a number between 0 and 1. Inverse trig functions thus *take in* a number between 0 and 1 and *return* an angle.

Side note: it is often sufficient to jump right from

to