answer: You are approximately 128.6 meters away from the base of the plateau.
Step-by-step explanation:
Here's how to solve the problem:
1. Diagram:
Imagine a right triangle:
* The height of the plateau (60 m) is the opposite side.
* Your distance from the base is the adjacent side (let's call it 'x').
* The angle of elevation (25°) is the angle between the adjacent side and the hypotenuse.
2. Trigonometric Function:
We'll use the tangent function because it relates the opposite and adjacent sides:
tan(angle) = opposite / adjacent
3. Calculation:
* tan(25°) = 60 / x
* x = 60 / tan(25°)
* x ≈ 128.6 m