Question

Solve this problem:

Suppose that you are headed toward a plateau 50 m high. If the angle of elevation to the top of the plateau is 20 ​, how far are you from the base of the​ plateau?

Answer 1

The distance is 137.3739 feet.

Explanation:

I hope this answer is right.

Answer 2

Explanation:

We can use trigonometry to solve this problem. Let's call the distance from the base of the plateau to our position "x". We can then use the tangent function to find x:

tan(20°) = opposite / adjacent

In this case, the opposite side is the height of the plateau (50 m) and the adjacent side is x. So we can write:

tan(20°) = 50 / x

To solve for x, we can rearrange this equation:

x = 50 / tan(20°)

Using a calculator, we get:

x = 143.45 meters (rounded to two decimal places)

Therefore, if the angle of elevation to the top of the plateau is 20 degrees, and the plateau is 50 meters high, we are approximately 143.45 meters away from the base of the plateau.