Mathetmatics Application Problem - Need Help ASAP!

The question relates to application of sine functions.

------------------

Sunsets are later in the summer than in the winter. For planning a sunset dinner cruise through the 30 000 islands, the cruise planners may find the time, t, in hours (on a 24 hour clock) of the sunset on the nth day of the year using the equation (calculator needs to be in degree mode):

t = 1.75sin0.986(n-80)+18.43

Determine the time of the sunset on Shera's birthday of July 26, the 207th day of the year.

------------

Answer:
7:52 p.m.

-------------

How do I solve this problem?
Do I need to graph the equation or can I just solve it from doing the calculation?
When I substitute 207 in the (n-80) and solve for it, I get 203.75

  1. 👍
  2. 👎
  3. 👁
  1. n = 207 in this case. So the formula becomes
    t = 1.75*sin (0.986*127)+18.43
    = 1.75 *0.8169 + 18.41
    = 19.84 hrs
    = 19:50 militsry time = 7:50 PM

    1. 👍
    2. 👎
  2. Thanks, I just realized what I have done wrong... I forgot to multiple 1.75 with sin

    1. 👍
    2. 👎
  3. I keep getting 22.25
    And before, I had my calculator in radian mode ... now I have it in degree mode

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus

    Choose any two specific functions (not already chosen by a classmate) that have inverses. Use your chosen functions to answer any one of the following questions: If the inverses of two functions are both functions, will the

  2. englissh

    16-20: Read the passage and answer the questions that follow on the basis of the information provided in the passage. Dynamic Link Libraries Windows provides several files called dynamic link libraries (DILLS) that contain

  3. Math

    There are 4 odd functions and 3 even functions in the gallery of the 12 basic functions. After multiplying these functions together pairwise in different combinations and exploring their graphs, make a conjecture about the

  4. Math

    Question: The sine function has an amplitude of 2, a phase shift of π/6 to the right, a period of 8π, and a vertical translation of 2 units down. Write an equation for the function The function I've made is: y = 2sin

  1. Trig

    the sine of an angle is 0.6. the constraint is the angle lies in quadrant II. how do I figure out what x is to solve the six functions?

  2. English

    1. Where did you visit during the summer vacation? 2. What did you visit during the summer vacation? (Which one is correct, #1 or #2?) (Instead of 'during' can we use other prepositions?) What did you do through the summer

  3. Science

    Why are the days typically hotter in June than in December here in the US? A.Beacuse the sun gives off more light and heat in the summer B.Because the Earth is closer to the sun in the summer and farther from the sun in the winter

  4. math(please help urgent)

    1) Find the values (if possible) of the six trigonometric functions of o if the terminal side of o lies on the given line in the specified quadrant. y=1/3x 2)Evaluate (if possible)the sine, cosine, and tangent of the angles

  1. Math

    Help me for this question on composite functions Does the composition of functions display the commutative property? Give an example of each case to illustrate your answer.

  2. Trig Functions

    Which of the following lists contains only functions with vertical asymptotes in their graphs? A. Cosine, sine, tangent, cotangent B. Tangent, secant, cosecant, cotangent C. Sine, tangent, secant, cosecant D. Cosine, sine, secant,

  3. Trigonometry/ Please Help

    Given sine of alpha=2/3 and cosine of alpha is less than zero, find the exact value of the other five trigonometric functions.

  4. History

    13 The colonists designed a school calendar so that children would attend school nine months a year, leaving the summer months off. Which answer best explains why? A. School buildings were too hot in the summer. B. Children needed

You can view more similar questions or ask a new question.