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The image shows a geometric problem that involves a right triangle with two given angles and lengths denoted as \(a\), \(b\), and \(c\). There is a request to calculate the ratio of the side lengths based on specific angle values.

Here's how we can approach this:

### 1. Problem Understanding:
- You are likely being asked to solve for a side or angle in a right triangle using trigonometric relationships like sine, cosine, or tangent.
- The angles in the triangle are noted, one of them being 35.27°, and the sides are labeled as \(a\), \(b\), and \(c\).
- The task is to compute a specific side-length ratio and express it to two decimal places.

### 2. Solution Approach:
From the image and typical right-triangle relationships, we might need to apply trigonometric ratios:

- **Sine Rule**: 
  \[
  \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}
  \]

- **Cosine Rule**:
  \[
  \cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}
  \]

- **Tangent Rule**:
  \[
  \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}
  \]

Let me read the angle and use the formula to find the solution. Would you like a detailed breakdown of how I can solve this step-by-step based on these trigonometric identities?



Solve for the ratio of the side lengths in a right triangle using the given angle of 35.27° and the side lengths labeled as a, b, and c.

Learn how to calculate the ratio of side lengths in a right triangle with a 35.27° angle using trigonometric functions like sine, cosine, and tangent. Suitable for students in Grades 9-12.

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