Problem 1E: If is an acute angle in a right triangle, then sin = Opposite Hypotenuse, cos = __, tan = __. Problem 2E: The sum of the two acute angles in a right triangle is _________. Problem 3E: If is an acute angle (measured in degrees) in a right mangle and , then = —.
Problem 4E: When looking down, the acute angle between the line of sight and the horizontal is called the... Problem 5E: True or False. If 0 is an acute angle in a right triangle and tan , then the length of the leg... Problem 6E: True or False. The leg adjacent to angle in a right triangle is the leg opposite the angle .
Problem 7E: True or False. The length of the hypotenuse of a right mangle having a leg of length 1 must be... Problem 8E: True or False. We can solve a right triangle if the two acute angles are given.
Problem 9E: In Exercises 9—14, find the exact values for the six trigonometric functions of the angle in each... Problem 10E: In Exercises 9-14, find the exact values for the six trigonometric functions of the angle in each... Problem 11E: In Exercises 9—14, find the exact values for the six trigonometric functions of the angle in each... Problem 12E: In Exercises 9—14, find the exact values for the six trigonometric functions of the angle in each... Problem 13E: In Exercises 9—14, find the exact values for the six trigonometric functions of the angle in each... Problem 14E: In Exercises 9—14, find the exact values for the six trigonometric functions of the angle in each... Problem 15E: In Exercises 15–26, use each given trigonometric function value ore to find the requested... Problem 16E: In Exercises 15—26, use each given trigonometric function value ore to find the requested... Problem 17E: In Exercises 15—26, use each given trigonometric function value ore to find the requested... Problem 18E: In Exercises 15–26, use each given trigonometric function value ore to find the requested... Problem 19E: In Exercises 15—26, use each given trigonometric function value ore to find the requested... Problem 20E: In Exercises 15—26, use each given trigonometric function value ore to find the requested... Problem 21E: In Exercises 15—26, use each given trigonometric function value ore to find the requested... Problem 22E: In Exercises 15—26, use each given trigonometric function value ore to find the requested... Problem 23E: In Exercises 15—26, use each given trigonometric function value ore to find the requested... Problem 24E: In Exercises 15—26, use each given trigonometric function value ore to find the requested... Problem 25E: In Exercises 15—26, use each given trigonometric function value ore to find the requested... Problem 26E: In Exercises 15—26, use each given trigonometric function value ore to find the requested... Problem 27E: In Exercises 27–32, find the trigonometric function values of each corresponding complementary... Problem 28E: In Exercises 27–32, find the trigonometric function values of each corresponding complementary... Problem 29E: In Exercises 27–32, find the trigonometric function values of each corresponding complementary... Problem 30E: In Exercises 27–32, find the trigonometric function values of each corresponding complementary... Problem 31E: In Exercises 27–32, find the trigonometric function values of each corresponding complementary... Problem 32E: In Exercises 27–32, find the trigonometric function values of each corresponding complementary... Problem 33E: In Exercises 33—40, solve each right triangle; angle C is the right angle Round to the nearest tenth... Problem 34E: In Exercises 33—40, solve each right triangle; angle C is the right angle Round to the nearest tenth... Problem 35E: In Exercises 33—40, solve each right triangle; angle C is the right angle Round to the nearest tenth... Problem 36E: In Exercises 33—40, solve each right triangle; angle C is the right angle Round to the nearest tenth... Problem 37E: In Exercises 33—40, solve each right triangle; angle C is the right angle Round to the nearest tenth... Problem 38E: In Exercises 33–40, solve each right triangle; angle C is the right angle Round to the nearest tenth... Problem 39E: In Exercises 33—40, solve each right triangle; angle C is the right angle Round to the nearest tenth... Problem 40E: In Exercises 33—40, solve each right triangle; angle C is the right angle Round to the nearest tenth... Problem 41E: In Exercises 41—48, use the figure and the given values to find each specified side length, angle... Problem 42E: In Exercises 41—48, use the figure and the given values to find each specified side length, angle... Problem 43E: In Exercises 41—48, use the figure and the given values to find each specified side length, angle... Problem 44E: In Exercises 41—48, use the figure and the given values to find each specified side length, angle... Problem 45E: In Exercises 41—48, use the figure and the given values to find each specified side length, angle... Problem 46E: In Exercises 41—48, use the figure and the given values to find each specified side length, angle... Problem 47E: In Exercises 41—48, use the figure and the given values to find each specified side length, angle... Problem 48E: In Exercises 41—48, use the figure and the given values to find each specified side length, angle... Problem 49E: Positioning a ladder. An 18-foot ladder is resting against a wall of a building in such a way that... Problem 50E: Positioning a ladder. The ladder from Exercise 49 is placed against a wall so that the foot of the... Problem 51E: In Exercises 51 and 52, use the following definitions: The vertical rise of a ski lift is the... Problem 52E: In Exercises 51 and 52, use the following definitions: The vertical rise of a ski lift is the... Problem 53E: Ski lift height. If a skier travels 5000 feet up a ski lift whose angle of inclination is 30°, how... Problem 54E: Shadow length. At a time when the sun’s rays make a 500 angle with the horizontal, how long is the... Problem 55E: Height of a tree. The angle relative to the horizontal from the top of a tree to a point 110 feet... Problem 56E: Height of a cliff. The angle of elevation from a rowboat moored 75 feet from a cliff is 73.8°. Find... Problem 57E: Height of a flagpole. A flagpole is supported by a 30-foot tension wire attached to the flagpole and... Problem 58E: Flying a kite. A girl 5 feet tail is flying a kite How long must the string be in order for her to... Problem 59E: Width of a river. Sal and his friend are on opposite sides of a river. To find the width of the... Problem 60E: Measuring the Empire State Building. From a neighboring building’s 13th-floor window that is 128... Problem 61E: Sighting a mortar station. The angle of depression from a helicopter 3000 feet directly above an... Problem 62E: Distance between Earth and the moon. If the radius of Earth Is 3960 miles and the latitude of C is... Problem 63E: Sprinkler rotation. A sprinkler rotates back and forth through an angle , as shown in the figure. At... Problem 64E: Irradiating flowers. A tray of flowers is being irradiated by a beam from a rotating lamp, as shown... Problem 65E: In Exercises 65 and 66, use the figure to find the radius r for the given latitudes (values of 6)... Problem 66E: In Exercises 65 and 66, use the figure to find the radius r for the given latitudes (values of 6)... Problem 67E: Motorcycle racing. A video camera is set up 110 feet at a right angle to a straight quarter-mile... Problem 68E: Viewing angle. The bottom of a 50-foot movie screen is 20 feet above eye level. Find the viewing... Problem 69E: Height of an airplane. From a tower 150 feet high with the sun directly overhead, an airplane and... Problem 70E: Camera angle. Raphael stands 12 feet from a large painting on a wall. He sets his camera 5 feet 6... Problem 71E: Height of a building. The WCNC-TV Tower in Dallas. North Carolina, is 600 meters high. Suppose a... Problem 72E: Height of a building. Suppose from the top of the Empire State Building (which is about 1250 feet... Problem 73E: In the figure below, show that .
Problem 74E: Height of a plane. A plane flies directly over two tracking stations that are 500 meters apart on a... Problem 75E: Maturing the Statue Of Liberty. While sailing toward the Statue of Liberty, a sailor in a boat... Problem 76E Problem 77E: Flagpole height. The angle of elevation of the top of a building from a distance of 200 feet from... Problem 78E: Airplane height. A plane flying at a height of 3000 feet above ground passes vertically above a... Problem 79E: In the figure below, show that .
Problem 80E: Find the area of the triangle in the figure.
[Hint: Use Exercises 79]
Problem 81E: Find the area of triangle ABC in the figure.
[Hint: Show < ACB = 52.5º]
Problem 82E: Find the area of the segment (see the shaded region in the figure) of the circle.
Problem 83E: Draw a right triangle with acute angle . Then use the definitions of sin and cos together with the... Problem 84E: In a right triangle with acute angle , what value must the adjacent side have for the length of the... Problem 85E: Use the result of Exercise 84 to compare tan and tan if a and are acute angles and the measure of... Problem 86E: Let ABC be a triangle with right angle at C. The length of the hypotenuse AB is 22 times the length... Problem 87E: In Exercises 87–90, let ABC be a triangle. Then .
If , find B.
Problem 88E: In Exercises 87–90, let ABC be a triangle. Then .
If , find A.
Problem 89E: In Exercises 87–90, let ABC be a triangle. Then .
If A = 30° and B = 75°, find C.
Problem 90E: In Exercises 87–90, let ABC be a triangle. Then .
If A = 23.7° and C = 69.8°, find A.
Problem 91E: In Exercises 91–96, solve each equation for x to the nearest tenth. (Note: If sin and , then or )... Problem 92E: In Exercises 91–96, solve each equation for x to the nearest tenth. (Note: If sin and , then or... Problem 93E: In Exercises 91–96, solve each equation for x to the nearest tenth. (Note: If sin and , then or... Problem 94E: In Exercises 91–96, solve each equation for x to the nearest tenth. (Note: If sin and , then or... Problem 95E: In Exercises 91–96, solve each equation for x to the nearest tenth. (Note: If sin and , then or... Problem 96E: In Exercises 91–96, solve each equation for x to the nearest tenth. (Note: If sin and , then or... Problem 97E: In Exercises 97—100, find the height h to the nearest tenth of a unit in each triangle ABC.
Problem 98E: In Exercises 97—100, find the height h to the nearest tenth of a unit in each triangle ABC.
Problem 99E: In Exercises 97—100, find the height h to the nearest tenth of a unit in each triangle ABC. Problem 100E: In Exercises 97—100, find the height h to the nearest tenth of a unit in each triangle ABC.
Problem 101E: In Exercises 101—1 04, find the area of each triangle to the nearest tenth of a unit. Recall: Area... Problem 102E: In Exercises 101—1 04, find the area of each triangle to the nearest tenth of a unit. Recall: Area... Problem 103E: In Exercises 101—1 04, find the area of each triangle to the nearest tenth of a unit. Recall: Area... Problem 104E: In Exercises 101—1 04, find the area of each triangle to the nearest tenth of a unit. Recall: Area... format_list_bulleted