find the value of x. if your answer is not an integer leave it in simplest radical form. The diagram is not drawn to scale

Right triangle, 30 degrees, -60 degrees, -90 degrees, short side length is 5 units, Long length side is Y

1 answer

We have a right triangle with angles of 30 degrees, 60 degrees, and 90 degrees. The short side length is 5 units and we need to find the length of the long side, labeled as Y.

Using trigonometric ratios, we can see that in a right triangle, the side opposite the 30-degree angle is half the length of the hypotenuse. Therefore, Y = 2 * 5 = 10 units.

So, the value of Y is 10.