Find the acute angle $$ A $$. $$ an A=0.176 $$ $$ A \approx \square^{\circ} $$ (Round to the nearest tenth as needed.)

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Find the acute angle $$ A $$. $$ 	an A=0.176 $$ $$ A \approx \square^{\circ} $$ (Round to the nearest tenth as needed.)

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To find the acute angle $$ A $$ such that $$ \tan A = 0.176 $$:

1. **Understanding the Tangent Function:**
   - The tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side.
   - $$ \tan A = 0.176 $$ implies that angle $$ A $$ is relatively small since the tangent of 0° is 0 and it increases as the angle increases.

2. **Using Inverse Tangent (Arctan):**
   - To find the angle $$ A $$, we use the inverse tangent function:
     $$
     A = \arctan(0.176)
     $$
   
3. **Calculating the Angle:**
   - Using a calculator, compute:
     $$
     A \approx \arctan(0.176) \approx 10.0^\circ
     $$
   - This value is rounded to the nearest tenth of a degree as required.

**Final Answer:**

$$ A \approx 10.0^{\circ} $$
$$ A \approx 10.0^\circ $$

Find the acute angle \( A \). \( \tan A=0.176 \) \( A \approx \square^{\circ} \) (Round to the nearest tenth as needed.)

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