A light is placed on the tip of a windmill blade to protect planes from crashing into them. The windmill's center is 400 ft above the ground and the blades of the windmill are 180 feet long. The windmill rotates in the counter-clockwise direction and completes one full revolution every 10 seconds starting from the 3 o'clcok position. Define the function f that represents the light's distance above the ground in terms of the amount of time in seconds, t, since the windmill started rotating. Determine the equation of the midline for the function f. Graph the function using Desmos to check your answer. Assume y=f(t). Determine the amplitude of the function f. Graph the function using Desmos to check your answer.\ Determine the period of the function f. Graph the function using Desmos to check your answer.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.5: Transformation Of Functions
Problem 4SE: When examining the formula of a function that is the result of multiple transformations, how can you...
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A light is placed on the tip of a windmill blade to protect planes from crashing into them. The windmill's center is 400 ft above the ground and the blades of the windmill are 180 feet long. The windmill rotates in the counter-clockwise direction and completes one full revolution every 10 seconds starting from the 3 o'clcok position.

  1. Define the function f that represents the light's distance above the ground in terms of the amount of time in seconds, t, since the windmill started rotating.

  2. Determine the equation of the midline for the function f. Graph the function using Desmos to check your answer. Assume y=f(t).
  3. Determine the amplitude of the function f. Graph the function using Desmos to check your answer.\

  4. Determine the period of the function f. Graph the function using Desmos to check your answer.

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