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Suppose that you are headed toward a plateau 60 m high. If the angle of elevation to the top of the plateau is 25°, how far are you from the base of the plateau?​

Sagot :

Dodomohsen080idn

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

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