Welcome back, everyone. Let's see if we can solve this example. In this example, we are asked to determine the missing angle theta in degrees for the right triangle below and to approximate our answer to 2 decimal places. Now the example that we have here is actually a continuation of an example that we did in a previous video where we learned about inverse trigonometric functions. Now notice that we have these first three steps complete because we've already chosen a trigonometric function that includes the correct sides and angles, which is the sine. We've gone ahead and written the equation, and we've taken the inverse on both sides of the equation to solve for our angle theta. So what we need to do now is approximate what this angle theta is based on what we've solved so far. So let's go ahead and see how we can do this. Now what I notice is in this example, we are asked to give our answer in degrees. So because of this, you want to make sure your calculator is in degree mode when solving this problem.

Now once you've put your calculator in degree mode, the next step is going to be to press the second key on your calculator, and the associated trigonometric function. This will give you the inverse trigonometric function that you're looking for. And since I can see we're looking for inverse sine, you're going to want to press the second button and then sine on your calculator. Now once you have the inverse sine, you're going to type in the ratio 6 over 13, and then close that parenthesis. From here, you're going to click enter, and this will give you the approximate value for the inverse trigonometric function, and we're asked to round our answer to 2 decimal places. Now looking at the calculator, your angle theta should be approximately equal to 27.49 degrees.

So this right here is the approximate answer for our angle theta and the solution to this problem. I hope you found this video helpful. Thanks for watching.