To solve for $d$ in the equation:

$\tan(7^\circ) = \frac{d}{2.7}$

We can multiply both sides of the equation by 2.7 to isolate $d$:

$d = 2.7 \times \tan(7^\circ)$

Now, we can calculate the value of $d$:

$d = 2.7 \times 0.1228 \quad (\text{since } \tan(7^\circ) \approx 0.1228)$

$d \approx 0.33156$

Thus, $d \approx 0.33$ (rounded to two decimal places).

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Do you have any questions or need more details?

Here are 5 related questions you might explore:

1. What is the unit circle definition of the tangent function?
2. How does tangent relate to the other trigonometric functions like sine and cosine?
3. How would the value of $d$ change if the angle increased or decreased?
4. Can you derive an expression for $d$ for any angle $\theta$?
5. What are some practical applications of solving for unknowns using trigonometric functions?

Tip: When using trigonometric functions, ensure your calculator is set to the correct mode (degrees or radians) for the angle you are using.