Line segment YV of rectangle YVWX measures 24 units.

Rectangle Y V W X is shown. A diagonal is drawn from point X to point V. The lengths of sides Y V and X W are 24 units. The angle of V X W is 30 degrees, the angle of X W V is 90 degrees, and the angle of X V W is 60 degrees.

Step-by-step explanation:

Since the figure is a rectangle, you know that:

Notice that the segment YV divides the rectangle into two equal Right triangles.

Knowing the above, you can use the following Trigonometric Identity:

You can identify that:

Therefore, in order to find the length of the segment YX, you must substitute values into   and then you must solve for YX.

You get that this is:

2x^2+5x+17

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