Elementary Geometry for College Students
6th Edition
ISBN: 9781285195698
Author: Daniel C. Alexander, Geralyn M. Koeberlein
Publisher: Cengage Learning
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Chapter 11.CR, Problem 14CR
To determine
To find:
The length of the shorter diagonal of a parallelogram.
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Chapter 11 Solutions
Elementary Geometry for College Students
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 - Prob. 20ECh. 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. 11.2 - 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 - Prob. 36ECh. 11.3 - Prob. 37ECh. 11.3 - Prob. 38ECh. 11.3 - Prob. 39ECh. 11.3 - Prob. 40ECh. 11.3 - Prob. 41ECh. 11.3 - In Exercises 37 to 43, angle measures should be...Ch. 11.3 - In Exercises 37 to 43, angle measures should be...Ch. 11.3 - Prob. 44ECh. 11.3 - Prob. 45ECh. 11.3 - Prob. 46ECh. 11.3 - Prob. 47ECh. 11.4 - In Exercises 1 and 2, use the given information to...Ch. 11.4 - Prob. 2ECh. 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 - 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 - Prob. 40ECh. 11.4 - Prob. 41ECh. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - Prob. 44ECh. 11.CR - In Exercises 1 to 4, state the ratio needed, and...Ch. 11.CR - In Exercises 1 to 4, state the ratio needed, and...Ch. 11.CR - In Exercises 1 to 4, state the ratio needed, and...Ch. 11.CR - Prob. 4CRCh. 11.CR - In Exercises 5 to 8, state the ratio needed, and...Ch. 11.CR - In Exercises 5 to 8, state the ratio needed, and...Ch. 11.CR - In Exercises 5 to 8, state the ratio needed, and...Ch. 11.CR - In Exercises 5 to 8, state the ratio needed, and...Ch. 11.CR - In Exercises 9 to 12, use the Law of Sines or the...Ch. 11.CR - Prob. 10CRCh. 11.CR - In Exercises 9 to 12, use the Law of Sines or the...Ch. 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 - In exercises 21 to 30. Use the drawings. Where...Ch. 11.CR - In exercises 21 to 30. Use the drawings. Where...Ch. 11.CR - In exercises 21 to 30. Use the drawings. Where...Ch. 11.CR - In Exercises 21 to 30, use the drawings, where...Ch. 11.CR - Prob. 25CRCh. 11.CR - Prob. 26CRCh. 11.CR - Prob. 27CRCh. 11.CR - Prob. 28CRCh. 11.CR - Prob. 29CRCh. 11.CR - In Exercises 21 to 30, use the drawings, where...Ch. 11.CR - Prob. 31CRCh. 11.CR - Prob. 32CRCh. 11.CR - Prob. 33CRCh. 11.CR - Prob. 34CRCh. 11.CT - Prob. 1CTCh. 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 - Without the calculator, determine which number is...Ch. 11.CT - Prob. 7CTCh. 11.CT - Prob. 8CTCh. 11.CT - Prob. 9CTCh. 11.CT - Prob. 10CTCh. 11.CT - Prob. 11CTCh. 11.CT - Prob. 12CTCh. 11.CT - Prob. 13CTCh. 11.CT - Prob. 14CTCh. 11.CT - Prob. 15CTCh. 11.CT - Prob. 16CTCh. 11.CT - Prob. 17CTCh. 11.CT - Prob. 18CTCh. 11.CT - Prob. 19CTCh. 11.CT - Prob. 20CT
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- Find the size of A to the nearest second?arrow_forwardDetermine the sizes of Aand Bto the nearest minute.arrow_forwardWhat is the acronym that is used to represent each statement? a Corresponding angles of similar triangles are congruent. b Corresponding sides of similar triangles are proportional.arrow_forward
- The base of the ladder in the figure is 6 ft from the building, and the angle formed by the ladder and the ground is 73. How high up the building does the ladder touch?arrow_forwardIn Exercises 29 to 34, use the Law of Sines or the Law of Cosines to solve each problem. Angle measures should be found to the nearest degree and areas and distances to the nearest tenth of a unit. A surveillance aircraft at point C sights an ammunition warehouse at A and enemy head-quarters at B through the angles indicated. If points A and B are 10, 000 m apart, what is the distance from the aircraft to enemy headquarters?arrow_forwardDraw a triangle and, by construction, find its incenter.arrow_forward
- Is it possible to draw a triangle whose angles measure a. 100, 100, and 60? b. 45, 45, and 90?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_forwardDetermine the values of 1 through 10.arrow_forward
- Refer to the following figure in answering Exercises 7 through 13. It may be helpful to sketch figures. When 1 is slightly greater than 0: a. How does side y compare to side r? b. How does side x compare to side r? c. How does side x compare to side y?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_forwardIs it possible to draw a triangle whose sides measure a. 8, 9, and 10? b. 8, 9, and 17? c. 8, 9, and 18?arrow_forward
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