5. [-/1 Points] DETAILS LARPCALC10 4.8.014.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the altitude of the isosceles triangle shown in the gure. 9 = 13, b = 7 Click here in beg Need Help? _ 6. [/1 Points] LARPCALC10 4.8.019. ASK YOURTEACHER PRACTICE ANOTHER A ladder that is 30 feet long leans against the side of a house. The angle of elevation of the ladder is 85. Find the height from the top of the ladder to the ground. (Round your answer to one decimal place.) :lft 7. [-/1 Points] DETAILS LARPCALC10 4.8.023. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A passenger in an airplane at an altitude of 10 kilometers sees two towns directly to the east of the plane. The angles of depression to the towns are 290 and 55 (see figure). How far apart are the towns? (Round your answer to one decimal place.) km 550 290 10 km : :: Not drawn to scale Need Help? Read It Watch It8. [-l1 Points] DETAILS LARPCALC10 4.8.027.MI.SA. MY NOTES ASK YOUR TEACHER | PRACTICE AND This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come bac. skipped part. Tutorial Exercise A Global Positioning System satellite orbits d = 18,500 miles above Earth's surface (see gure). Find the angle of depression from the satellite to the horizon. Assume the radius of Earth is 4000 miles. GPS satellite Need Help? 9. [-/1 Points] LARPCALC10 4.8.031. ASK YOUR TEACHER PRACTICE ANOTHER A police department has set up a speed enforcement zone on a straight length of highway. A patrol car is parked parallel to the zone, 200 feet from one end and 150 feet from the other end (see gure). (a) Find the length [of the zone and the measures of the angles A and B (in degrees). (Round your answers to two decimal places.) I= ft A= 3: (b) Find the minimum amount of time (in seconds) it takes for a vehicle to pass through the zone without exceeding the posted speed limit of 45 miles per hour. (Round your answer to two decimal places.) sec 10. [-/1 Points] DETAILS LARPCALC10 4.8.046.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find a model for simple harmonic motion satisfying the specified conditions. Displacement, d Amplitude, a Period (t = 0) 0 3.4 meters 8 seconds Click here to begin! Need Help? Read It11. [-/1 Points] DETAILS LARPCALC10 4.8.052. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER For the simple harmonic motion described by the trigonometric function, find the maximum displacement, the frequency, the value of d when t = 3 and the least positive value of t for which d = 0. Use a graphing utility to verify your results. d = _ cos 24xt (a) Find the maximum displacement. (b) Find the frequency. cycles per unit of time (c) Find the value of d when t = 3. d = (d) Find the least positive value of t for which d = 0. t = Need Help? Read It12. [-/1 Points] DETAILS LARPCALC10 4.8.056. MY NOTES ASK YOUR TEACHER The number of hours H of daylight in Denver, Colorado, on the 15th of each month starting with January are: 9.68, 10.72, 11.92, 13.25, 14.35, 14.97, 14.72, 13.73, 12.47, 11.18, 10.00, and 9.37. model for the data is H(t) = 12.13 + 2.77 sin ZZ - 1.60 where t represents the month, with t = 1 corresponding to January. t (a) Use a graphing utility to graph the data points and the model in the same viewing window. H(t) H(t) 15 - 15 - 10/ 10- 5 5 t O 2 t 4 6 8 10 12 O 2 4 6 8 10 12 H(t) H(t) 15/ 15/ 10- 10 5 5 t O 2 4 6 8 10 12 O 2 4 6 8 10 12(b) What is the period of the model? :1 Is it what you expected? Explain. 0 Yes, this is the expected value because there are 12 months in one year. 0 Yes, this is the expected value because it corresponds to the number of data points. 0 No, this is not the expected value because there are 12 months in one year. O No, this is not the expected value because there are four seasons in one year. 0 No, this is not expected because this data is only representative of one year. (c) What is the amplitude of the model? :1 What does it represent in the context of the problem? 0 The amplitude represents the average displacement from the average number of hours of daylight. O The amplitude represents the maximum displacement from the average number of hours of daylight. O The amplitude represents the average number of hours of daylight. O The amplitude represents the maximum hours of daylight. O The amplitude represents the minimum hours of daylight. 1. [-11 Points] DETAILS LARPCALC10 4.7.001. Fill in the blanks. (Enter the domain in interval notation.) Function Alternative Notation Domain Range 2 2 Need Help? 2. [-11 Points] DETAILS LARPCALC10 4.7.002. Fill in the blanks. (Enter the range in interval notation.) Function Alternative Notation Domain Range Need Help? 3. [-11 Points] DETAILS LARPCALC10 4.7.003. Fill in the blanks. (Enter the domain and the range in interval notation.) Function Alternative Notation Domain Range Need Help? 4. [-11 Points] DETAILS LARPCALC10 4.7.008. Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) arccos(1) Z Need Help? 5. [-11 Points] DETAILS LARPCALC10 4.7.016. Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) mm Z Need Help? 6. [-11 Points] DETAILS LARPCALC10 4.7.018. Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) tanIQ E) S 3 7. [I1 Points] DETAILS LARPCALC10 4.7.026. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use a calculator to approximate the value of the expression, if possible. Round your result to two decimal places. (Enter your answer in radians. If not possible, enter IMPOSSIBLE.) arctan(47) Need Help? B. [-/1 Points] DETAILS LARPCALC1O 4.7.028. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use a calculator to approximate the value of the expression, if possible. Round your result to two decimal places. (Enter your answer in radians. If not possible, enter IMPOSSIBLE.) cos1(o.46) : Need Help? 9. [-/1 Points] DETAILS LARPCALC10 4.7.042. Use an inverse trigonometric function to write 0 as a function of x. 0 = x +1 12 Need Help? Read It Watch It10. [-I1 Points] DETAILS LARPCALC10 4.7.044.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Use an inverse trigonometric function to write 9 as a function of x. x216 Click here to beg Need Help? 11. [I1 Points] DETAILS LARPCALC10 4.7.050. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) arccos [cos( 1)] 2 Need Help? 12. [-11 Points] DETAILS LARPCALC104.7.052.MI.SA. | MY NOTE This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for skipped part. Tutorial Exercise Find the exact value of the expression. (Hint: Sketch a right triangle.) sec(..csin(%)) Step 1 Recall the definition of the inverse trigonometric functions. The inverse sine function is defined by y = arcsin(X) if and only if sin(y) = X, with appropriate restrictions on the domain. Let u = arcsin(i). 13 According to the definition, what is the value of sin(u)? mm = :l | Submit Skip (you cannot come back) Need Help? 13. [-/1 Points] DETAILS LARPCALC10 4.7.058.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the exact value of the expression. (Hint: Sketch a right triangle.) tan arcsin(- 10)] Step 1 Let u = arcsin( - -). Find sin u. sin u = Submit Skip (you cannot come back) Need Help? Read It14. [-11 Points] DETAILS LARPCALC10 4.7.068. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Write an algebraic expression that is equivalent to the given expression. csc[arccos(x 1)] Need Help? 15. [-/1 Points] DETAILS LARPCALC10 4.7.070. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Write an algebraic expression that is equivalent to the given expression. meme Need Help? 16. [-11 Points] LARPCALC10 4.7.076.MI.SA. ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Complete the equation. '/ _ 2 arcsin 25 X =arccos( ), 05x55 5 Consider a right triangle with an acute angle u. If u=arcsin ZSX2, then \\/25x2 -. 5 5 Submit $9.0m IInnat come back) Need Help? 17. [-11 Points] LARPCALC104.7.094. | ASK YOUR TEACHER Fill in the blank. (Note: The notation X e c+ indicates that x approaches c from the right and x > c' indicates that x approaches c from the left. Enter your answer in radians.) As x > 1', the value of arccos(x) > Need Help? 18. [-11 Points] LARPCALC104.7.098. | ASK YOUR TEACHER Fill in the blank. (Note: The notation x > c+ indicates that x approaches c from the right and x > c' indicates that x approaches c from the left. Enter your answer in radians.) As x > co, the value of arctan(x) > Need Help