Problem 1AYP: The difference formula for the sine function is sin( AB )= _____ . (p.493) Problem 2AYP: If is an acute angle, solve the equation cos= 3 2 . (pp. 472-475) Problem 3CV: The two triangles shown are similar. Find the missing length. (pp. A16-A18) Problem 4CV: If none of the angles of a triangle is a right angle, the triangle is called _____ . a. oblique b.... Problem 5CV: For a triangle with sides a, b, c and opposite angles A, B, C, the Law of Sines states that _____ . Problem 6CV: True or False An oblique triangle in which two sides and an angle are given always results in at... Problem 7CV: True or False The Law of Sines can be used to solve triangles where three sides are known. Problem 8CV: Triangles for which two sides and the angle opposite one of them are known (SSA) are referred to as... Problem 9SB: In Problems 9-16, solve each triangle. Problem 10SB: In Problems 9-16, solve each triangle. Problem 11SB: In Problems 9-16, solve each triangle. Problem 12SB: In Problems 9-16, solve each triangle. Problem 13SB: In Problems 9-16, solve each triangle. Problem 14SB: In Problems 9-16, solve each triangle. Problem 15SB: In Problems 9-16, solve each triangle. Problem 16SB: In Problems 9-16, solve each triangle. Problem 17SB: In Problems 17-24, solve each triangle. A= 40 , B= 20 , a=2 Problem 18SB: In Problems 17-24, solve each triangle. A= 50 , C= 20 , a=3 Problem 19SB: In Problems 17-24, solve each triangle. B= 70 , C= 10 , b=5 Problem 20SB: In Problems 17-24, solve each triangle. A= 70 , B= 60 , c=4 Problem 21SB: In Problems 17-24, solve each triangle. A= 110 , C= 30 , c=3 Problem 22SB: In Problems 17-24, solve each triangle. B= 10 , C= 100 , b=2 Problem 23SB: In Problems 17-24, solve each triangle. A= 40 , B= 40 , c=2 Problem 24SB: In Problems 17-24, solve each triangle. B= 20 , C= 70 , a=1 Problem 25SB: In Problems 25-36, two sides and an angle are given. Determine whether the given information results... Problem 26SB: In Problems 25-36, two sides and an angle are given. Determine whether the given information results... Problem 27SB: In Problems 25-36, two sides and an angle are given. Determine whether the given information results... Problem 28SB: In Problems 25-36, two sides and an angle are given. Determine whether the given information results... Problem 29SB: In Problems 25-36, two sides and an angle are given. Determine whether the given information results... Problem 30SB: In Problems 25-36, two sides and an angle are given. Determine whether the given information results... Problem 31SB: In Problems 25-36, two sides and an angle are given. Determine whether the given information results... Problem 32SB: In Problems 25-36, two sides and an angle are given. Determine whether the given information results... Problem 33SB: In Problems 25-36, two sides and an angle are given. Determine whether the given information results... Problem 34SB: In Problems 25-36, two sides and an angle are given. Determine whether the given information results... Problem 35SB: In Problems 25-36, two sides and an angle are given. Determine whether the given information results... Problem 36SB: In Problems 25-36, two sides and an angle are given. Determine whether the given information results... Problem 37AE: Finding the Length of a Ski Lift Consult the figure. To find the length of the span of a proposed... Problem 38AE: Finding the Height of a Mountain Use the illustration in Problem 37 to find the height QD of the... Problem 39AE: Finding the Height of an Airplane An aircraft is spotted by two observers who are 1000 feet apart.... Problem 40AE: Finding the Height of the Bridge over the Royal Gorge The highest bridge in the world is the bridge... Problem 41AE: Land Dimensions A triangular plot of land has one side along a straight road measuring 200 feet. A... Problem 42AE: Distance between Runners Two runners in a marathon determine that the angles of elevation of a news... Problem 43AE: Landscaping Pat needs to determine the height of a tree before cutting it down to be sure that it... Problem 44AE: Construction A loading ramp 10 feet long that makes an angle of 18 with the horizontal is to be... Problem 45AE Problem 46AE Problem 47AE: Rescue at Sea Coast Guard Station Able is located 150 miles due south of Station Baker. A ship at... Problem 48AE Problem 49AE: Finding the Lean of the Leaning Tower of Pisa The famous Leaning Tower of Pisa was originally 184.5... Problem 50AE: Crankshafts on Cars On a certain automobile, the crankshaft is 3 inches long and the connecting rod... Problem 51AE: Constructing a Highway A highway whose primary directions are north-south, is being constructed... Problem 52AE: Calculating Distances at Sea The navigator of a ship sea spots two lighthouses that she knows to be... Problem 53AE: Designing an Awning An awning that covers a sliding glass door that is 88 inches tall forms an angle... Problem 54AE: Finding Distances A forest ranger is walking on a path inclined at 5 to the horizontal directly... Problem 55AE Problem 56AE: Determining the Height of an Aircraft Two sensors are spaced 700 feet apart along the approach to a... Problem 57AE Problem 58AE Problem 59AE: The Original Ferris Wheel George Washington Gale Ferris, Jr., designed the original Ferris wheel for... Problem 60AE: Mollweides Formula For any triangle, Mollweides Formula (named after Karl Mollweide, 1774-1825)... Problem 61AE: Mollweides Formula Another form of Mollweides Formula is ab c = sin[ 1 2 ( AB ) ] cos( 1 2 C )... Problem 62AE: For any triangle, derive the formula a=bcosC+ccosB [Hint: Use the fact that sinA=sin( 180 BC ) .] Problem 63AE: Law of Tangents For any triangle, derive the Law of Tangents: ab a+b = tan[ 1 2 ( AB ) ] tan[ 1 2 (... Problem 64AE Problem 65DW: Make up three problems involving oblique triangles. One should result in one triangle, the second in... Problem 66DW: What do you do first if you are asked to solve a triangle and are given one side and two angles? Problem 67DW: What do you do first if you are asked to solve a triangle and are given two sides and the angle... Problem 68DW: Solve Example 6 using right-triangle geometry. Comment on which solution, using the Law of Sines or... Problem 69RYK: Solve: 3 x 3 +4 x 2 27x36=0 Problem 70RYK: Find the exact distance between P 1 =( 1,7 ) and P 2 =( 2,1 ) . Then approximate the distance to two... Problem 71RYK: Find the exact value of tan[ cos 1 ( 7 8 ) ] . Problem 72RYK: Graph y=4sin( 1 2 x ) . Show at least two periods. format_list_bulleted