https://file.aiquickdraw.com/mathbot/file/1725839628180l8axlb6l.jpg

The image you uploaded shows a geometry problem with a right triangle. The triangle has angles and sides marked, with the problem asking for unknown parts of the triangle, indicated by letters such as \(x\), \(y\), and \(z\). Here's a description of the figure:

- One angle is \(97^\circ\), and the other is \(28^\circ\), with one right angle \(90^\circ\).
- One leg of the triangle is labeled as 15, and the hypotenuse is unknown.

### Steps to Solve:
We can apply trigonometric functions such as sine, cosine, or the Pythagorean theorem to solve for the unknown values.

1. Use the fact that the angles sum to \(180^\circ\) to check consistency.
2. Use sine and cosine rules for the sides.
3. Solve for the unknowns based on the figure's labels.

Let me know if you'd like a detailed step-by-step breakdown based on specific details from the image!

Find the exact value of each part labeled with a variable in the figure.

Learn how to solve a right triangle using trigonometric functions like sine, cosine, and the Pythagorean theorem. This geometry problem involves finding unknown sides and angles based on provided values. Suitable for students in Grades 9-10.

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