Horizontal Distance

Question

Question #1: A guy wire is 13.5 m long. It supports a vertical power pole. The wire is fastened to the ground 9.5 m from the base of an 8.7 m tall pole. Calculate the measure of the guy wire and the ground.
 

Question #2: A 5.0 m ladder is leaning 3.7 m up a wall. What is the angle the ladder makes with the ground?
 

Question #3: A kite has a string 100 m long anchored to the ground. The string makes an angle with the ground of 68 degrees. What is the horizontal distance of the kite from the anchor?
 

Question #4: A ladder is leaned 10 m up a wall with it’s base 6 m from the wall. What does the ladder make with the ground?
 

Question #5: The acronym SOHCAHTOA is often used in trigonometry. What do you think each letter stands for and give an example finding either an unknown side or an unknown angle using a portion of this acronym.

Question

1 . (TCO 5) A researcher found that 85% of customers who make purchase at a department store are pleased with the store customer service. We asked 20 customers whether or not they are please with the store customer service.

(a) Is this a binomial experiment? Explain how you know.

(b) Use the correct formula to find the probability that, out of 20 customers, exactly 12 of them are pleased with the store customer service. Show your calculations or explain how you found the probability. (Points : 20)

2 . (TCO 7) A company’s CEO wanted to estimate the percentage of defective product per shipment. In a sample containing 400 products, he found 25 defective products.

(a) Find a 95% confidence interval for the true proportion of defective product. Show your calculations and/or explain the process used to obtain the interval.

(b) Interpret this confidence interval and write a sentence that explains it. (Points : 20)