$$ \theta $$ is an angle in a right-angled triangle. $$ \theta=\tan ^{-1}(0.36) $$ Work out the value of $$ \theta $$. Give your answer to 1 d.p.

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To find the value of $$ \theta $$ where:

$$
\theta = \tan^{-1}(0.36)
$$

we need to determine the angle whose tangent is 0.36.

**Steps to Calculate $$ \theta $$:**

1. **Understanding the Tangent Function:**
   - The tangent of an angle in a right-angled triangle is the ratio of the opposite side to the adjacent side.
   - Therefore, $$ \tan(\theta) = 0.36 $$ implies that the opposite side is 0.36 times the length of the adjacent side.

2. **Using a Calculator:**
   - To find $$ \theta $$, we take the inverse tangent (also known as arctangent) of 0.36.
   - Ensure your calculator is set to **degrees** (since the answer is typically expected in degrees unless specified otherwise).

3. **Calculation:**
   $$
   \theta = \tan^{-1}(0.36) \approx 19.8^\circ
   $$

**Final Answer:**
$$
\theta \approx 19.8^\circ
$$
$$ \theta \approx 19.8^\circ $$

\( \theta \) is an angle in a right-angled triangle. \[ \theta=\tan ^{-1}(0.36) \] Work out the value of \( \theta \). Give your answer to 1 d.p.

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