URGENT PLEASE HELP Chloe wants to ride a zip line. She looked online and found a zip line tour near her home, and she needs to decide whether to ride the Beginner’s zip line or the Daredevil’s zip line. The tour company’s Web page gives some of the measurements for the two zip lines, but Chloe wants to find some additional measurements before she decides. The image below is shown on the tour company’s Web page.

1. Chloe printed the image and added labels to help her identify sides and angles. Describe how to find BC, the difference in the heights of the starting points. (2 points)

2. Find each of the following measures. Round your answer to the nearest whole number or degree. (6 points)
a. BC =
b. mB =
c. mBCA =
d. mCAD =
e. mDCA =
f. AD =
3. What is the height of the starting point of the Beginner’s zip line, CD? (3 points)

4. What is the height of the starting point of the Daredevil’s zip line, BD?
To prepare for her zip line adventure, Chloe’s father helps her build a smaller zip line in her backyard. Chloe made a diagram of her zip line. (1 point)

5. The height of the starting point, SB, is 20 feet and EB = 26 feet. Determine the angle of elevation from the ending platform, E, to the starting point, S. Show the work that leads to your response. Round your angle to the nearest degree. (2 points)

6. Chloe decides she wants the length of the wire for the zip line to be 60 feet long and the angle of elevation to be 40°. Chloe and her father need to determine the distance from B to E to decide if there is enough room in her yard for this zip line. Her father uses the equation sin 50°= EB60 and Chloe uses the equation os 40°= EB60 . Who is correct? Justify your answer. (3 points)

Jobs and productivity! how do retail stores rate? one way to answer this question is to examine annual profits per employee. the following data give annual profits per employee (in units of 1 thousand dollars per employee) for companies in retail sales. assume σ ≈ 4.0 thousand dollars. 3.7 6.7 3.6 8.5 7.5 5.9 8.7 6.4 2.6 2.9 8.1 −1.9 11.9 8.2 6.4 4.7 5.5 4.8 3.0 4.3 −6.0 1.5 2.9 4.8 −1.7 9.4 5.5 5.8 4.7 6.2 15.0 4.1 3.7 5.1 4.2 (a) use a calculator or appropriate computer software to find x for the preceding data. (round your answer to two decimal places.) thousand dollars per employee (b) let us say that the preceding data are representative of the entire sector of retail sales companies. find an 80% confidence interval for μ, the average annual profit per employee for retail sales. (round your answers to two decimal places.) lower limit -- thousand dollars upper limit -- thousand dollars (c) let us say that you are the manager of a retail store with a large number of employees. suppose the annual profits are less than 3 thousand dollars per employee. do you think this might be low compared with other retail stores? explain by referring to the confidence interval you computed in part (b). yes. this confidence interval suggests that the profits per employee are less than those of other retail stores. no. this confidence interval suggests that the profits per employee do not differ from those of other retail stores. correct: your answer is correct. (d) suppose the annual profits are more than 6.5 thousand dollars per employee. as store manager, would you feel somewhat better? explain by referring to the confidence interval you computed in part (b). yes. this confidence interval suggests that the profits per employee are greater than those of other retail stores. no. this confidence interval suggests that the profits per employee do not differ from those of other retail stores. (e) find an 95% confidence interval for μ, the average annual profit per employee for retail sales. (round your answers to two decimal places.) lower limit 3.75 incorrect: your answer is incorrect. thousand dollars upper limit 6.41 incorrect: your answer is incorrect. thousand dollars