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Date Created: 11/16/15
Axia College Material Appendix E Radicals Application Practice Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. Hint: Pay attention to the units of measure. You may have to convert from feet to miles several times in this assignment. You can use 1 mile = 5,280 feet for your conversions. 1. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on Earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: 2, where C is a constant, and r is the w Cr distance that the object is from the center of Earth. a. Solve the equation 2 for r. w Cr w = Cr^2 w = C/r² wr² = C r² = C/w r = √(C/w) b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the Earth.) C = (100) (3963)² C = (100) (15705369) C = 1.5705369 * 10 9 C= 1570536900 c. Use the value of C you found in the previous question to determine how much the object would weigh in i. Death Valley (282 feet below sea level). 282 feet = 282/5280 miles = 0.0534090909 miles 3963 0.0534090909 = 3962.94659 = r w = 1570536900 / (3962.94659)² w = 100.002695 lbs MAT/117 ii. the top of Mount McKinley (20,320 feet above sea level). 20320 feet = 20320/5280 miles = 3.848485 miles 3963 3.848485 = 3959.15152 = r w = 1570536900 / (3959.15152)² w = 100.2 lbs 2. The equation D 1.2 h gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet. a. Solve this equation for h. (D / 1.2)^2 = h b. Long’s Peak in Rocky Mountain National Park, is 14,255 feet in elevation. How far can you see to the horizon from the top of Long’s Peak? Can you see Cheyenne, Wyoming (about 89 miles away)? Explain your answer. D=1.2√ 14255 D=1.2*119.394305 D=143.273166 A person can see 143.27 miles from the top and yes you can see Cheyenne because 89 miles is less than 143 miles. TOTAL = 40 40/40 POINTS MAT/117
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