Respuesta :

The closest to x the distance between the two poles is gotten as; x = 75 ft

How to utilize trigonometric ratios?

From the Brainly link attached, we can see the diagram and we can say that;

We are given a right angled triangle with;

A known angle of; θ = 20°

Length of the hypotenuse = 80

Now, we want to find the length of the base x. Thus, we will use trigonometric ratio to get;

cos θ = x/hypotenuse

Thus;

cos 20 = x/80

x = 80 cos 20

x = 75.17 ft ≈ 75 ft

Read more about trigonometric ratios at; https://brainly.com/question/11789367

#SPJ1