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To find \(\cos A\) in decimal form for the given right triangle, you can use the definition of the cosine function in a right triangle. The cosine of angle \( A \) is given by:

\[
\cos A = \frac{\text{Adjacent side to } A}{\text{Hypotenuse}}
\]

From the triangle in the image:
- The side adjacent to angle \( A \) is \( BC = 30 \).
- The hypotenuse is \( AC = 34 \).

So,

\[
\cos A = \frac{30}{34}
\]

Now, simplify the fraction and convert it to a decimal:

\[
\cos A = \frac{30}{34} = \frac{15}{17} \approx 0.8824
\]

So, \(\cos A \approx 0.8824\) in decimal form.

Would you like more details on how this value is used, or any other calculations related to this triangle?

### Related Questions:
1. How would you find \(\sin A\) and \(\tan A\) for this triangle?
2. How does \(\cos A\) change if side \( AB \) changes?
3. How can you use \(\cos A\) to find the length of side \( BC \)?
4. What is the exact value of \(\cos A\) in fractional form?
5. How can you verify that \(\cos^2 A + \sin^2 A = 1\) using this triangle?

### Tip:
For quick calculations, always simplify the fraction first before converting it to a decimal, as it often provides a clearer understanding of the ratio involved.

Discover how to find the cosine of angle A in a right triangle using the adjacent side and hypotenuse. Follow a detailed step-by-step solution with numerical examples. Suitable for high school students learning trigonometry.

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