A water grist mill has a radius of 8ft and takes 6 seconds to make a complete rotation. A bucket starts at position (8,0). What are the coordinates of the bucket's location after 4 seconds? Round values to the nearest tenth. (8.7, −3.5)

(−4, −6.9)

(4, −6.9)

(−8.7, −3.5)

(−4 -6.9 )= x, y  rotation 240 degree anti clockwise

Step-by-step explanation:

We are told radius = 8 so the center point or point of origin is 0.0

360/3 = 120 degree x 2 = 240 degree is where we need to be.

(8,0)  circulating anti clockwise = -8,0 at 180 = 180 degree.

This is 3 seconds.

We divide 8/3 to find the 4th and know it will be negative in the 3rd quadrant across the negative y axis, the lower and left point on the graph.

We know both are negative if going anti clockwise 240 degree.

We also know that the hands of a clock or mechanics of a mill cannot increase in length they shorten so they cannot be 8.7 even though triangles slants do increase this is independent of completing the lengths in a triangle. The lengths shorten.

-4 = x this is because it crosses -4 x axis to reach to -6.9 y coordinate.

Y= 6.9 as the length of 8 is shortened by 1.1 units between each 180 degree line we have 210deg (shows (-6.35, -2.4) also; 240 deg (-6.9, -4 ) and a 270 deg (this shows (0,8)

if 240/6.9 = 34% reduction

As 8 6.9 of 8 as a percentage = 86.25

As a ratio decrease we have 13.75% with the size of the coordinates at 240 degrees from 180 degrees the highest point is 270 degrees and is half again 1.1/2 = 0.55 increase in coordinates of y.

y would show -6.35 at 210 degrees and x would show 1.1 whole ratio change and show -2.4 at 210 degrees. The reason for this is that it is cutting the axis line and is a narrowing crossing for x axis shortly before 180 degree change.

The shortest point of the hand and central to 240 and 180 is 210 degree.

what i would say the best answer is a. 40.5