In this triangle, what is the value of x? enter your answer, rounded to the nearest tenth, in the box.

Since the triangle above is a right triangle, we can use trigonometry to solve for x. In this case, the ratio SOH or Sin. x = opposite/ hypotenuse. We can substitute the variables with the side lengths shown.

Sin. x = 66/79
Sin. x = 0.83544303797
Using a trigonometric table we can look down the sin. column to see which number is closest to 0.83544303797. In this case the closest degree is 48.

Final x = 48