Charlie is watching hot air balloons. Balloon A has risen at a 60° angle. Balloon B has risen at an 82° angle. If the distance from balloon A to the ground is 1,400 feet, how far is balloon B from balloon A? Round your answer to the nearest whole number. Two points labeled Balloon A and Balloon B are connected to a point labeled Charlie, which is on a straight line labeled Ground. A dashed line connects point Balloon A to line Ground; another dashed line connects point Balloon B to line Ground; both dashed lines form a right angle with line Ground; the angle formed from point Balloon A, point Charlie, and line Ground measures x degrees; and the angle formed by point Balloon B, point Charlie, and line Ground measures y degrees. 999 feet 1,005 feet 1,052 feet 1,102 feet Question 8(Multiple Choice Worth 4 points) (05.01 MC) If the sin 30° = one half, then which statement is true? cos 150° = 0, because the angles are supplements cos 60° = one half, because the angles are complements cos 150° = 1, because the angles are supplements cos 60° = 0, because the angles are complements Question 9(Multiple Choice Worth 4 points) (05.03 MC) Jim is designing a seesaw for a children's park. The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 1 meter, as shown below: A seesaw is shown with one end on the ground and the other in the air. The seesaw makes an angle of 30 degrees with the ground. The height of the seesaw from the ground, at the other end, is labeled 1 meter. What is the maximum length of the seesaw? 1.4 meters 2 meters 0.5 meters 1 meter Question 10(Multiple Choice Worth 4 points) (05.01 LC) The figure below shows a right triangle: A right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units. The angle between the legs having lengths p units and q units is y degrees. The angle between the legs having lengths r units and q units is x degrees. What is p ÷ r equal to? tan x° tan y° sin y° cos x° Question 11 (Fill-In-The-Blank Worth 4 points) (05.02 MC) Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only) A right triangle is shown with one leg measuring 8, and the hypotenuse is labeled 17. An angle across from the leg measuring 8 is marked x degrees. Answer for Blank 1: 28.1 Question 12(Multiple Choice Worth 4 points) (05.03 LC) The sail of a boat is in the shape of a right triangle. Which expression shows the height, in meters, of the sail? The sail of a boat is a right triangle with an acute angle equal to 40 degrees and the side adjacent to the 40 degrees angle is 2 meters long. 2(sin 40°) sine 40 degrees over 2 2(tan 40°) tangent 40 degrees over 2 Question 13(Multiple Choice Worth 4 points) (05.03 MC) Kayson is looking at two buildings, building A and building B, at an angle of elevation of 73°. Building A is 30 feet away, and building B is 35 feet away. Which building is taller and by approximately how many feet? Building A; it is around 16.35 feet taller than building B Building A; it is around 114.48 feet taller than building B Building B; it is around 16.35 feet taller than building A Building B; it is around 114.48 feet taller than building A Question 14(Multiple Choice Worth 4 points) (05.03 MC) A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth. 45.88 feet 34.88 feet 22.47 feet 19.59 feet Question 15(Multiple Choice Worth 4 points) (05.01 MC) Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = 7 divided by q and tan y° = 7 divided by r, what is the value of cos y°? cos y°= r divided by q cos y° = 7r cos y° = 7q cos y°= q divided by r You must check the box below prior to submitting your exam! Check this box to indicate you are ready to submit your exam Explorer Toolbox Workload My Folders Current course: Instructors monitor ALL areas of a student's account Student e-mail accounts are to be used for FLVS course-related email only and not for general introductions or spamming of people in your address book. Please remember to click the Logoff link when you have completed your work in the course. FDK231.05