Exam 2: Right Triangle Trigonometry

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Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement. Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____ _____

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Which of the following tables has been completed correctly using exact values? ​

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Use a calculator to find the following. Round your answer to four places past the decimal point. sec 30°48' ​

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Refer to right triangle ABC with Refer to right triangle ABC with   .   If    inches and    inches, find B . ​  Apply the rules regarding the use of significant digits when determining your answer.   __________  . Refer to right triangle ABC with   .   If    inches and    inches, find B . ​  Apply the rules regarding the use of significant digits when determining your answer.   __________  If Refer to right triangle ABC with   .   If    inches and    inches, find B . ​  Apply the rules regarding the use of significant digits when determining your answer.   __________   inches and Refer to right triangle ABC with   .   If    inches and    inches, find B . ​  Apply the rules regarding the use of significant digits when determining your answer.   __________   inches, find B . ​ Apply the rules regarding the use of significant digits when determining your answer. Refer to right triangle ABC with   .   If    inches and    inches, find B . ​  Apply the rules regarding the use of significant digits when determining your answer.   __________  __________ Refer to right triangle ABC with   .   If    inches and    inches, find B . ​  Apply the rules regarding the use of significant digits when determining your answer.   __________

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Find θ  if θ  is between 0° and 90°. Round your answer to the nearest tenth of a degree. sin  θ ​ = 0.6438 ​

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Solve the problem. Be sure to make a diagram of the situation with all the given information labeled. An equilateral triangle (one with all sides the same length)has an altitude of 4.7 inches. Find the length of the sides. Round to the nearest tenth of inches. ​

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Solve the problem. Be sure to make a diagram of the situation with all the given information labeled. A 72.1-foot rope from the top of a circus tent pole is anchored to the ground 43.7 feet from the bottom of the pole. What angle does the rope make with the pole? Round to the nearest tenth of degree. (Assume the pole is perpendicular to the ground.)  ​

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Subtract. (83°36')- (72°66') ​

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From a point on the floor the angle of elevation to the top of a door is 47°, while the angle of elevation to the ceiling above the door is 62°. If the ceiling is 10 feet above the floor, what is the vertical dimension of the door (see the figure). Round your answer to the nearest tenth of a feet. From a point on the floor the angle of elevation to the top of a door is 47°, while the angle of elevation to the ceiling above the door is 62°. If the ceiling is 10 feet above the floor, what is the vertical dimension of the door (see the figure). Round your answer to the nearest tenth of a feet.     ​ From a point on the floor the angle of elevation to the top of a door is 47°, while the angle of elevation to the ceiling above the door is 62°. If the ceiling is 10 feet above the floor, what is the vertical dimension of the door (see the figure). Round your answer to the nearest tenth of a feet.     ​

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Which of the following tables has been completed correctly using exact values? ​

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A plane travels 125 miles on a bearing of A plane travels 125 miles on a bearing of    and then changes its course to    and travels another 140 miles. Find the total distance traveled north and the total distance traveled east. ​  and then changes its course to A plane travels 125 miles on a bearing of    and then changes its course to    and travels another 140 miles. Find the total distance traveled north and the total distance traveled east. ​  and travels another 140 miles. Find the total distance traveled north and the total distance traveled east. ​

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A ship travels 185 kilometers on a bearing of A ship travels 185 kilometers on a bearing of   . Apply the rules regarding the use of significant digits when determining your answers. How far east has it traveled? __________ km How far south has it traveled? __________ km . Apply the rules regarding the use of significant digits when determining your answers. How far east has it traveled? __________ km How far south has it traveled? __________ km

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Solve the problem. Be sure to make a diagram of the situation with all the given information labeled.​ If a 73.0-foot flagpole casts a shadow 49.0 feet long, what is the angle of elevation of the sun (to the nearest tenth of a degree)? ​

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Work the following problem on your calculator. Do not write down or round off any intermediate answers. Work the following problem on your calculator. Do not write down or round off any intermediate answers.   ​

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Refer to right triangle ABC with Refer to right triangle ABC with   . Solve for all the missing parts using the given information.    ft,     ft  Apply the rules regarding the use of significant digits when determining your answer.   __________   ​   __________   ​   __________ ft . Solve for all the missing parts using the given information. Refer to right triangle ABC with   . Solve for all the missing parts using the given information.    ft,     ft  Apply the rules regarding the use of significant digits when determining your answer.   __________   ​   __________   ​   __________ ft  ft,  Refer to right triangle ABC with   . Solve for all the missing parts using the given information.    ft,     ft  Apply the rules regarding the use of significant digits when determining your answer.   __________   ​   __________   ​   __________ ft  ft Apply the rules regarding the use of significant digits when determining your answer. Refer to right triangle ABC with   . Solve for all the missing parts using the given information.    ft,     ft  Apply the rules regarding the use of significant digits when determining your answer.   __________   ​   __________   ​   __________ ft __________ Refer to right triangle ABC with   . Solve for all the missing parts using the given information.    ft,     ft  Apply the rules regarding the use of significant digits when determining your answer.   __________   ​   __________   ​   __________ ftRefer to right triangle ABC with   . Solve for all the missing parts using the given information.    ft,     ft  Apply the rules regarding the use of significant digits when determining your answer.   __________   ​   __________   ​   __________ ft __________ Refer to right triangle ABC with   . Solve for all the missing parts using the given information.    ft,     ft  Apply the rules regarding the use of significant digits when determining your answer.   __________   ​   __________   ​   __________ ftRefer to right triangle ABC with   . Solve for all the missing parts using the given information.    ft,     ft  Apply the rules regarding the use of significant digits when determining your answer.   __________   ​   __________   ​   __________ ft __________ ft

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Draw a vector representing the velocity. 10 ft/min Draw a vector representing the velocity. 10 ft/min   ​

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Find tan A in the right triangle below Find tan A in the right triangle below   .   ​ . Find tan A in the right triangle below   .   ​

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Mark pulls Allison and Mattie in a wagon by exerting a force of 20 pounds on the handle at an angle of Mark pulls Allison and Mattie in a wagon by exerting a force of 20 pounds on the handle at an angle of    with the horizontal. How much work is done by Mark in pulling the wagon 330 feet? Apply the rules regarding the use of significant digits when determining your answer.   __________    with the horizontal. How much work is done by Mark in pulling the wagon 330 feet? Apply the rules regarding the use of significant digits when determining your answer. Mark pulls Allison and Mattie in a wagon by exerting a force of 20 pounds on the handle at an angle of    with the horizontal. How much work is done by Mark in pulling the wagon 330 feet? Apply the rules regarding the use of significant digits when determining your answer.   __________   __________  Mark pulls Allison and Mattie in a wagon by exerting a force of 20 pounds on the handle at an angle of    with the horizontal. How much work is done by Mark in pulling the wagon 330 feet? Apply the rules regarding the use of significant digits when determining your answer.   __________ 

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The horizontal and vertical components of the velocity of an arrow shot into the air are 17.0 feet per second and 25.0 feet per second, respectively. Find the velocity of the arrow. ​

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Refer to right triangle ABC with Refer to right triangle ABC with   .   ​ If    and    yd, find a . Apply the rules regarding the use of significant digits when determining your answer.   __________  yd . Refer to right triangle ABC with   .   ​ If    and    yd, find a . Apply the rules regarding the use of significant digits when determining your answer.   __________  yd ​ If Refer to right triangle ABC with   .   ​ If    and    yd, find a . Apply the rules regarding the use of significant digits when determining your answer.   __________  yd  and Refer to right triangle ABC with   .   ​ If    and    yd, find a . Apply the rules regarding the use of significant digits when determining your answer.   __________  yd  yd, find a . Apply the rules regarding the use of significant digits when determining your answer. Refer to right triangle ABC with   .   ​ If    and    yd, find a . Apply the rules regarding the use of significant digits when determining your answer.   __________  yd __________  yd

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