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The problem you've shared is a trigonometry question. Here's the breakdown of the situation:

- Enyonam is standing on the roof of a building.
- The height of the building (vertical distance from Enyonam to the street) is 20 meters.
- The angle of depression from Enyonam to a car on the street is 30°.
- We are asked to find the distance from Enyonam to the car, which would be the horizontal distance (denoted as \( x \)).

To solve this problem, we can use the tangent function in trigonometry, since the tangent of an angle in a right triangle is the ratio of the opposite side (height of the building) to the adjacent side (distance to the car).

\[
\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} = \frac{20}{x}
\]

Given that the angle of depression \( \theta = 30^\circ \), we can write:

\[
\tan(30^\circ) = \frac{20}{x}
\]

We know that \( \tan(30^\circ) = \frac{1}{\sqrt{3}} \approx 0.577 \).

Now, solve for \( x \):

\[
0.577 = \frac{20}{x}
\]

\[
x = \frac{20}{0.577} \approx 34.64 \, \text{meters}
\]

Thus, the car is approximately 34.64 meters away from Enyonam.

Would you like more details or clarification on any step? Here are some related questions you might want to explore:

1. How do we use other trigonometric functions like sine and cosine in such problems?
2. What if the angle of depression was different—say, 45° or 60°?
3. How would the calculation change if the building's height were 30 meters instead of 20 meters?
4. What is the significance of using the tangent function here, and when do we use sine or cosine instead?
5. How does the angle of elevation relate to the angle of depression in real-world problems?

**Tip:** Always make sure the angle of depression is correctly visualized as the angle from the horizontal line downward to the object (car in this case).

Enyonam is standing on the roof of a building. The angle of depression from her to a car on the street is 30°. If Enyonam is 20m above the street, how far away is the car from her?

Learn how to calculate the horizontal distance between a person on a rooftop and a car on the street, using trigonometric concepts like the tangent function. In this example, we find the distance when the angle of depression is 30° and the height is 20 meters.

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