Question

The graph models the height of the end of a blade of a windmill as a function of time. Graph modeling height of end of blade as function of time Assume the blade is pointing to the right when t = 0 and that the windmill turns counterclockwise at a constant rate. Use the graph to complete the statements. The blades of the windmill turn on an axis that is feet from the ground.

Answer 1

The highest point of the line is at 25 feet.

The lowest point on the graph is at 15 feet.

Subtract to find the difference:

25-15 = 10

Divide by 2:  10/2 = 5

Now add 5 to the lowest point and this would be the axis:

15 + 5 = 20

This is also the point where the line starts, so the axis is at 20 feet.

Answer 2

Answer:

The axis is 20 feet height from ground level.

Step-by-step explanation:

The graph refers to a function where time is the independent variable and height is the dependent variable, being $y=0$ ground level.

We can solve this just using the graph, no calculations needed. The wave shows the movement of the windmill, which is periodic, this means that the movement is completely uniform and the axis of the windmill is in the middle of the movement which is at 20 feet from the ground level. If you have doubts about the middle point, you could observe that 20 is right in the middle of the waves, where it starts.

Therefore, the axis is 20 feet height from ground level.