The accompanying diagram shows a revolving door with three panels, each of which is 4 feet long.
What is the width, w, of the opening between x and
y, to the nearest tenth of a foot?

7 ft.

Step-by-step explanation:

Please see the attached image.

I named the center Z btw

Because the circle is split into three congruent angles, each angle is 360/3=120°.

After dropping an altitude on the bottom triangle, the angle is bisected, so 120/2=60°.

By dropping the altitude, we also created a 30-60-90 triangle. By now you have probably learned the proportions for the sides of a 30-60-90 triangle, but if you haven't,

the side opposite the 30° angle is half the hypotenuse, and the side opposite the 60° angle is the other leg multiplied by √3.

So ZW is 4/2=2, and WY is 2√3.

XW=WY, so XY=2√3*2=4√3

4√3 is approximately 7.

7 ft.

25

step-by-step explanation: