7. At the bottom of its rotation, the tip of the blade on a windmill is 5 m above the ground. At

Question

the top of its rotation, the blade tip is 19 m above the ground. The blade rotates once
every 10 seconds. An insect lands on the tip of the blade when it is at its highest point 4
seconds after you start observing the windmill.
a. Draw one complete cycle of this scenario. Choose an appropriate scale

Answer 1

for the drawing.

b. Determine a sinusoidal function that models the height of the blade tip above the ground as a function of time.

c. How high above the ground is the blade tip 6 seconds after the insect landed on it?