Math Problem Statement

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

Solution

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 xx, yy, and zz. Here's a description of the figure:

  • One angle is 9797^\circ, and the other is 2828^\circ, with one right angle 9090^\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 180180^\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!

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Right Triangle
Angle Sum Property

Formulas

Pythagorean Theorem: a^2 + b^2 = c^2
Sine Rule: sin(θ) = opposite/hypotenuse
Cosine Rule: cos(θ) = adjacent/hypotenuse

Theorems

Pythagorean Theorem
Angle Sum Property of Triangles

Suitable Grade Level

Grades 9-10