Level 3 Trigonometric Equations to Model Real Scenarios Outcome 6: Creating Trigonometric Equations from Word Problems 35% Level 1 (55%) Student has not yet demonstrated understanding of the standard. Level 2 (65%) Level 3 (75%) Level 4 (90%) Level 4+ (100%) Student is Student's demonstrating an emerging understanding of the standard. demonstration of understanding is approaching the standard. Student's demonstration of understanding is reaching the standard. Student's Student's demonstration of understanding is exceeding the standard. demonstration of understanding is extending the standard. 1. The propeller of a boat at dock in the ocean will rise and fall with the waves. On a particularly wavy night, the propeller leaves its resting position and reaches a height of 2.5 m on the peaks of the waves and -2.5 m in the troughs. The time between the peak and the trough is approximately 2 seconds. Determine the equation of a sinusoidal function that would model this situation assuming that at t = 0, the propeller is at its resting position and headed towards the peak of the next wave.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Level 3 Trigonometric Equations to Model Real Scenarios
Outcome 6: Creating Trigonometric Equations from Word Problems
35%
Level 1 (55%)
Student has not
yet demonstrated
understanding of
the standard.
Level 2 (65%)
Level 3 (75%)
Level 4 (90%)
Level 4+ (100%)
Student is
Student's
demonstrating an
emerging
understanding of
the standard.
demonstration of
understanding is
approaching the
standard.
Student's
demonstration of
understanding is
reaching the
standard.
Student's
Student's
demonstration of
understanding is
exceeding the
standard.
demonstration of
understanding is
extending the
standard.
1.
The propeller of a boat at dock in the ocean will rise and fall with the waves. On a particularly
wavy night, the propeller leaves its resting position and reaches a height of 2.5 m on the peaks of the
waves and -2.5 m in the troughs. The time between the peak and the trough is approximately 2
seconds. Determine the equation of a sinusoidal function that would model this situation assuming
that at t = 0, the propeller is at its resting position and headed towards the peak of the next wave.
Transcribed Image Text:Level 3 Trigonometric Equations to Model Real Scenarios Outcome 6: Creating Trigonometric Equations from Word Problems 35% Level 1 (55%) Student has not yet demonstrated understanding of the standard. Level 2 (65%) Level 3 (75%) Level 4 (90%) Level 4+ (100%) Student is Student's demonstrating an emerging understanding of the standard. demonstration of understanding is approaching the standard. Student's demonstration of understanding is reaching the standard. Student's Student's demonstration of understanding is exceeding the standard. demonstration of understanding is extending the standard. 1. The propeller of a boat at dock in the ocean will rise and fall with the waves. On a particularly wavy night, the propeller leaves its resting position and reaches a height of 2.5 m on the peaks of the waves and -2.5 m in the troughs. The time between the peak and the trough is approximately 2 seconds. Determine the equation of a sinusoidal function that would model this situation assuming that at t = 0, the propeller is at its resting position and headed towards the peak of the next wave.
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