Answer needed

on a windmill, the tip of one blade moves in a circular motion. the maximum height is 18 feet and the minimum height is 4 feet. the height of the tip of the blade (in feet) can be modeled by the function h(x)=−14sinx+18 where x is time in seconds. use the inverse function to determine how many seconds it will take to make a full rotation for one blade.

Step-by-step explanation:

Trigonometric Functions

The trigonometric functions have a cyclic behavior, which means they perform a full cycle and then do it all again in their whole domain. If we know that

sinx=0

we can use the inverse sine function to know the values of x. In this case, all angles whose sine is 0.

X=0 is the trivial solution, but given the repetitive nature of the sine, we know the next cycle will repeat the same value. Each cycle occurs every units of x, so the solution is

being k any integer number, positive or negative

The height of the tip of the blade (in feet) of our windmill has a motion described by the equation

Let's start one cycle by setting x=0, so the initial value of h is

The very next cycle will be when h=18 again

Or

sinx=0

Which next solution is

So, it will take to make a full rotation for one blade a time of

25

step-by-step explanation:

486in is correct

step-by-step explanation: