Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Chapter 11.2, Problem 29E
To determine
To find:
To find the measure of
“Gene wants to use a sloped 12-ft roof to cover an expanse that is 10 ft. wide”
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Chapter 11 Solutions
Elementary Geometry For College Students, 7e
Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 7 to 14, use either Table 11.2 or a...Ch. 11.1 - In Exercises 7 to 14, use either Table 11.2 or a...Ch. 11.1 - Prob. 9ECh. 11.1 - Prob. 10E
Ch. 11.1 - In Exercises 7 to 14, use either Table 11.2 or a...Ch. 11.1 - Prob. 12ECh. 11.1 - Prob. 13ECh. 11.1 - Prob. 14ECh. 11.1 - In Exercises 15 to 20, find the lengths of the...Ch. 11.1 - In Exercises 15 to 20, find the lengths of the...Ch. 11.1 - Prob. 17ECh. 11.1 - In Exercises 15 to 20, find the lengths of the...Ch. 11.1 - In Exercises 15 to 20, find the lengths of the...Ch. 11.1 - In Exercises 15 to 20, find the lengths of the...Ch. 11.1 - In Exercises 21 to 26, find the measures of the...Ch. 11.1 - Prob. 22ECh. 11.1 - In Exercises 21 to 26, find the measures of the...Ch. 11.1 - Prob. 24ECh. 11.1 - In Exercises 21 to 26, find the measures of the...Ch. 11.1 - Prob. 26ECh. 11.1 - In Exercises 27 to 34, use the drawings, where...Ch. 11.1 - In Exercises 27 to 34, use the drawings, where...Ch. 11.1 - Prob. 29ECh. 11.1 - Prob. 30ECh. 11.1 - Prob. 31ECh. 11.1 - In Exercises 27 to 34, use the drawings, where...Ch. 11.1 - Prob. 33ECh. 11.1 - In Exercises 27 to 34, use the drawings, where...Ch. 11.1 - Prob. 35ECh. 11.1 - Prob. 36ECh. 11.1 - For Exercises 35 to 38, make drawings as needed....Ch. 11.1 - Prob. 38ECh. 11.1 - Prob. 39ECh. 11.1 - For Exercises 35 to 38, make drawings as needed....Ch. 11.2 - In Exercises 1 to 6, find cos and cos.Ch. 11.2 - In Exercises 1 to 6, find cos and cos.Ch. 11.2 - Prob. 3ECh. 11.2 - Prob. 4ECh. 11.2 - In Exercises 1 to 6, find cos and cos.Ch. 11.2 - Prob. 6ECh. 11.2 - Prob. 7ECh. 11.2 - Prob. 8ECh. 11.2 - Prob. 9ECh. 11.2 - Prob. 10ECh. 11.2 - Prob. 11ECh. 11.2 - Prob. 12ECh. 11.2 - Prob. 13ECh. 11.2 - Prob. 14ECh. 11.2 - Prob. 15ECh. 11.2 - Prob. 16ECh. 11.2 - In Exercise 17 to 22, use either the sine ratio or...Ch. 11.2 - In Exercise 17 to 22, use either the sine ratio or...Ch. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.2 - In Exercise 17 to 22, use either the sine ratio or...Ch. 11.2 - In Exercise 23 to 28, use either the sine ratio or...Ch. 11.2 - In Exercise 23 to 28, use either the sine ratio or...Ch. 11.2 - Prob. 25ECh. 11.2 - Prob. 26ECh. 11.2 - Prob. 27ECh. 11.2 - Prob. 28ECh. 11.2 - Prob. 29ECh. 11.2 - Prob. 30ECh. 11.2 - Prob. 31ECh. 11.2 - Prob. 32ECh. 11.2 - In Exercise 29 to 37, angle measures should be...Ch. 11.2 - Prob. 34ECh. 11.2 - Prob. 35ECh. 11.2 - In Exercise 29 to 37, angle measures should be...Ch. 11.2 - Prob. 37ECh. 11.2 - Prob. 38ECh. 11.2 - Prob. 39ECh. 11.2 - Prob. 40ECh. 11.2 - Prob. 41ECh. 11.2 - For Exercise 42 and 43, use the drawing and the...Ch. 11.2 - Prob. 43ECh. 11.2 - Prob. 44ECh. 11.2 - Prob. 45ECh. 11.3 - In Exercises 1 to 4, find tan and tan for each...Ch. 11.3 - In Exercises 1 to 4, find tan and tan for each...Ch. 11.3 - In Exercises 1 to 4, find tan and tan for each...Ch. 11.3 - Prob. 4ECh. 11.3 - In Exercises 5 to 10, find the value or expression...Ch. 11.3 - In Exercises 5 to 10, find the value or expression...Ch. 11.3 - In Exercises 5 to 10, find the value or expression...Ch. 11.3 - Prob. 8ECh. 11.3 - Prob. 9ECh. 11.3 - Prob. 10ECh. 11.3 - Prob. 11ECh. 11.3 - Prob. 12ECh. 11.3 - Prob. 13ECh. 11.3 - Prob. 14ECh. 11.3 - Prob. 15ECh. 11.3 - Prob. 16ECh. 11.3 - Prob. 17ECh. 11.3 - Prob. 18ECh. 11.3 - In Exercises 15 to 20, use the sine, cosine, or...Ch. 11.3 - In Exercises 15 to 20, use the sine, cosine, or...Ch. 11.3 - Prob. 21ECh. 11.3 - In Exercises 21 to 26, use the sine, cosine, or...Ch. 11.3 - In Exercises 21 to 26, use the sine, cosine, or...Ch. 11.3 - Prob. 24ECh. 11.3 - In Exercises 21 to 26, use the sine, cosine, or...Ch. 11.3 - Prob. 26ECh. 11.3 - Prob. 27ECh. 11.3 - Prob. 28ECh. 11.3 - In Exercises 27 to 32, use a calculator and...Ch. 11.3 - Prob. 30ECh. 11.3 - Prob. 31ECh. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - Prob. 34ECh. 11.3 - Prob. 35ECh. 11.3 - In Exercises 33 to 38, we expand the list of...Ch. 11.3 - Prob. 37ECh. 11.3 - Prob. 38ECh. 11.3 - Prob. 39ECh. 11.3 - In Exercises 39 to 45, angle measures should be...Ch. 11.3 - Prob. 41ECh. 11.3 - Prob. 42ECh. 11.3 - Prob. 43ECh. 11.3 - In Exercises 39 to 45, angle measures should be...Ch. 11.3 - In Exercises 39 to 45, angle measures should be...Ch. 11.3 - In the triangle shown, find each measure to the...Ch. 11.3 - Prob. 47ECh. 11.3 - Prob. 48ECh. 11.3 - Prob. 49ECh. 11.4 - In Exercises 1 and 2, use the given information to...Ch. 11.4 - In Exercises 1 and 2, use the given information to...Ch. 11.4 - Prob. 3ECh. 11.4 - In Exercises 3 and 4, state the form of the Law of...Ch. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.4 - Prob. 11ECh. 11.4 - Prob. 12ECh. 11.4 - Prob. 13ECh. 11.4 - Prob. 14ECh. 11.4 - Prob. 15ECh. 11.4 - In Exercises 15 and 16, find the area of the given...Ch. 11.4 - Prob. 17ECh. 11.4 - Prob. 18ECh. 11.4 - Prob. 19ECh. 11.4 - Prob. 20ECh. 11.4 - Prob. 21ECh. 11.4 - Prob. 22ECh. 11.4 - Prob. 23ECh. 11.4 - Prob. 24ECh. 11.4 - Prob. 25ECh. 11.4 - Prob. 26ECh. 11.4 - Prob. 27ECh. 11.4 - Prob. 28ECh. 11.4 - Prob. 29ECh. 11.4 - Prob. 30ECh. 11.4 - In Exercises 29 to 34, use the Law of Sines or the...Ch. 11.4 - Prob. 32ECh. 11.4 - Prob. 33ECh. 11.4 - Prob. 34ECh. 11.4 - Prob. 35ECh. 11.4 - Prob. 36ECh. 11.4 - Prob. 37ECh. 11.4 - On a baseball diamond a square, the bases are 90ft...Ch. 11.4 - Prob. 39ECh. 11.4 - Show that the form of the Law of Cosines written...Ch. 11.4 - Explain why the area of the parallelogram shown is...Ch. 11.4 - Find the area of MNPQifa=8cm,b=12cm,and=70. Answer...Ch. 11.4 - Prob. 43ECh. 11.4 - Prob. 44ECh. 11.4 - Prob. 45ECh. 11.4 - Prob. 46ECh. 11.CR - In Review Exercises 1 to 4, state the ratio...Ch. 11.CR - Prob. 2CRCh. 11.CR - Prob. 3CRCh. 11.CR - Prob. 4CRCh. 11.CR - Prob. 5CRCh. 11.CR - Prob. 6CRCh. 11.CR - Prob. 7CRCh. 11.CR - Prob. 8CRCh. 11.CR - In Review Exercises 9 to 12, use the Law of Sines...Ch. 11.CR - Prob. 10CRCh. 11.CR - Prob. 11CRCh. 11.CR - Prob. 12CRCh. 11.CR - Prob. 13CRCh. 11.CR - Prob. 14CRCh. 11.CR - Prob. 15CRCh. 11.CR - Prob. 16CRCh. 11.CR - Prob. 17CRCh. 11.CR - Prob. 18CRCh. 11.CR - Prob. 19CRCh. 11.CR - Prob. 20CRCh. 11.CR - Prob. 21CRCh. 11.CR - Prob. 22CRCh. 11.CR - Prob. 23CRCh. 11.CR - Prob. 24CRCh. 11.CR - Prob. 25CRCh. 11.CR - Prob. 26CRCh. 11.CR - Prob. 27CRCh. 11.CR - Prob. 28CRCh. 11.CR - Prob. 29CRCh. 11.CR - In Review Exercises 21 to 30, use the drawings,...Ch. 11.CR - Prob. 31CRCh. 11.CR - Prob. 32CRCh. 11.CR - Prob. 33CRCh. 11.CR - Prob. 34CRCh. 11.CT - For the right triangle shown, express each of the...Ch. 11.CT - Prob. 2CTCh. 11.CT - Prob. 3CTCh. 11.CT - Prob. 4CTCh. 11.CT - Using your calculator, find to the nearest degree...Ch. 11.CT - Prob. 6CTCh. 11.CT - Prob. 7CTCh. 11.CT - Prob. 8CTCh. 11.CT - Prob. 9CTCh. 11.CT - Prob. 10CTCh. 11.CT - A kite is flying at an angle of elevation of 670...Ch. 11.CT - A roofline shows a span of 12 ft across a sloped...Ch. 11.CT - Prob. 13CTCh. 11.CT - In a right triangle with acute of measures and ,...Ch. 11.CT - Use one of the three forms for area such as the...Ch. 11.CT - Prob. 16CTCh. 11.CT - Prob. 17CTCh. 11.CT - Prob. 18CTCh. 11.CT - Prob. 19CTCh. 11.CT - Each apothem of regular pentagon ABCDE has length...
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- Find the size of A to the nearest second?arrow_forwardRefer to the drill jig shown. Determine 1.arrow_forwardIn Exercises 39 to 45, angle measures should be given to the nearest degree; distance should be given to the nearest tenth of a unit. While a helicopter hovers 1000 ft above the water, its pilot spies a man in a lifeboat through an angle of depression of 28. Along a straight line, a rescue boat can also be seen through an angle depression of 14. How far is the rescue boat from the lifeboat?arrow_forward
- In Exercises 27 to 34, use the drawings, where provided, to solve each problem. Angle measures should be given to the nearest degree; distances should be given to the nearest tenth of a unit. An airplane flying at the rate of 350 feet per second begins to climb at an angle of 10. What is the increase in altitude over the next 15 seconds?arrow_forwardOn the basis of appearance, what type of angle is shown?arrow_forwardIn Exercises 21 to 30, use the drawings, where provided, to solve each problem, Angle measures should be found to the nearest degree; lengths should be found to the nearest tenth of a unit. The basket of a hot-air balloon is 300 ft high. The pilot of the balloon observes a stadium 2200 ft away. What is the measure of the angle of depression?arrow_forward
- Draw an obtuse triangle and, by construction, find its orthocentre. HINT: You will have to extend the sides opposite the acute angles.arrow_forwardIn Exercise 29 to 37, angle measures should be given to the nearest degree; distances should be given to the nearest tenth of a unit. In searching for survivors of a boating accident, a helicopter moves horizontally across the ocean at an altitude of 200 ft above the water. If a man clinging to a life raft is seen through an angle of depression of 12, what is the distance from the helicopter to the man in the water?.arrow_forwardRefer to the following figure in answering Exercises 7 through 13. It may be helpful to sketch figures. 8. When 1 is 90: a. What is the value of side x? b. How does side y compare to side r?arrow_forward
- In Exercises 39 to 45, angle measures should be given to the nearest degree; distance should be given to the nearest tenth of a unit. From atop a 200-ft lookout tower, a fire is spotted due north through an angle of depression of 12. Firefighters located 1000 ft due east of the tower must work their way through heavy foliage to the fire. By their compasses, through what angle measured from the north toward the west must the firefighters travel?arrow_forwardIn Exercise 23 to 28, use either the sine ratio or the cosine ratio as needed to find the measure of each indicated angle to the nearest degree.arrow_forwardIn exercises 21 to 30. Use the drawings. Where provided, to solve each problem. Angle measures should be found to the nearest degree; lengths should be found to the nearest tenth of a unit. In the evening, a tree that stands 12 ft tall casts a shadow. If the angle of depression from the top of the tree to the tip of the shadow is 55, what is the length of the shadow?arrow_forward
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