The position of the sun at sunset, north or south of due west, depends on the latitude and the day of the year. The number of degrees, D, north or south of due west for a specific latitude on a specific day, t, is modelled by the function D(t)= 28sin (360/365 t - 1.4). Graph the function 1. What is the angle at sunset on February 28th and May 15th? 2. What is the maximum angle north of due west? What is the minimum angle south of due west? How can you find these angles without graphing? 3. What is the period of the function? 4. What is the significance of the number 1.4 in terms of the day of the year?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 64PFA
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The position of the sun at sunset, north or south of due west, depends on the latitude and the day of the year. The number of degrees, D, north or south of due west for a specific latitude on a specific day, t, is modelled by the function D(t)= 28sin (360/365 t - 1.4). Graph the function

1. What is the angle at sunset on February 28th and May 15th?

2. What is the maximum angle north of due west? What is the minimum angle south of due west? How can you find these angles without graphing?

3. What is the period of the function?

4. What is the significance of the number 1.4 in terms of the day of the year?

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Please graph the function of D(t)= 28sin(360/365 t - 1.4)

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