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The problem is written in Hebrew and appears to involve trigonometry, with a trapezoid labeled \( ABCD \) and several questions based on it. I will summarize the questions and diagram setup for better understanding:

1. The figure shows a trapezoid \( ABCD \), with segment \( AE \) perpendicular to \( BC \) and creating two triangles \( ACD \) and \( DAE \).
2. Given:
   - Height \( AE = 12 \, \text{cm} \),
   - Angle \( \angle DAE = 35^\circ \),
   - It asks to:
     - (a) Find the angles \( \angle ACD \) and \( \angle DAE \),
     - (b) Calculate the length of the shadow (likely \( AC \)),
     - (c) Compute the area of the trapezoid \( ABCD \).

To solve this step by step:

1. **Step A: Calculate \( \angle ACD \) and \( \angle DAE \):**
   - Using the information about angles, trigonometric identities, or properties of the trapezoid, we can calculate these angles.

2. **Step B: Calculate \( AC \):**
   - Using trigonometric ratios (since \( AE \) is given and the angle at \( DAE = 35^\circ \)), we can find the length of \( AC \).

3. **Step C: Calculate the area of the trapezoid:**
   - The formula for the area of a trapezoid is given by:
     \[
     \text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height}
     \]
     where \( AE \) is the height and \( AB \), \( DC \) are the bases.

Let me start calculating these parts based on the given information.

If you have any questions or want detailed steps, feel free to ask!

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### Questions:
1. What is the importance of the 35° angle in trigonometry, and how do we use it in solving problems?
2. Can we find the length of diagonal \( AC \) using the sine or cosine of the given angle?
3. What are the steps to compute the area of a trapezoid if only the height and one base are given?
4. How do trigonometric functions help in determining the unknown sides of a triangle?
5. Could we solve this problem using a different geometric approach, such as similar triangles?

### Tip:
Remember that trigonometric identities such as sine, cosine, and tangent relate the angles of a triangle to the lengths of its sides, which can be very useful for solving geometry problems!

Given the trapezoid ABCD, with height AE of 12 cm, angle DAE = 35°, calculate the following: a) the angles of triangles ACD and DAE, b) the length of the shadow (likely AC), and c) the area of the trapezoid ABCD.

Solve this geometry problem involving a trapezoid ABCD, where you calculate angles of triangles, the length of diagonal AC, and the area of the trapezoid using trigonometric functions and area formulas. Ideal for high school students.

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