P Prerequisites 1 Trigonometry 2 Analytic Trigonometry 3 Additional Topics In Trigonometry 4 Complex Numbers 5 Exponential And Logarithmic Functions 6 Topics In Analytic Geometry Chapter3: Additional Topics In Trigonometry
3.1 Law Of Sines 3.2 Law Of Cosines 3.3 Vectors In The Plane 3.4 Vectors And Dot Products Chapter Questions Section3.1: Law Of Sines
Problem 1ECP: For the triangle shown, A=30, B=45, and a=32 centimeters. Find the remaining angle and sides. Problem 2ECP: Find the height of the tree shown in the figure. Problem 3ECP: Given A=31,a=12 inches, and b=5 inches, find the remaining side and angles of the triangle. Problem 4ECP: Show that there is no triangle for which a=4 feet, b=14 feet, and A=60. Problem 5ECP Problem 6ECP: Find the area of a triangular lot with two sides of lengths 24 yards and 18 yards and an included... Problem 7ECP: On a small lake, you swim from point A to point B at a bearing of N28E, then to point C at a bearing... Problem 1E Problem 2E: For triangle ABC, the Law of Sines is asinA==csinC. Problem 3E Problem 4E Problem 5E Problem 6E Problem 7E: Using the Law of Sines In Exercises 5-22, use the Law of Sines to solve the triangle. Round your... Problem 8E Problem 9E Problem 10E Problem 11E Problem 12E Problem 13E Problem 14E Problem 15E Problem 16E Problem 17E Problem 18E Problem 19E Problem 20E Problem 21E Problem 22E Problem 23E Problem 24E Problem 25E Problem 26E Problem 27E: Using the Law of Sines In Exercises 23-32, use the Law of Sines to solve (if possible) the triangle.... Problem 28E Problem 29E Problem 30E Problem 31E Problem 32E: Using the Law of Sines In Exercises 23–32, use the Law of Sines to solve (if possible) the triangle.... Problem 33E Problem 34E Problem 35E Problem 36E Problem 37E Problem 38E Problem 39E Problem 40E Problem 41E Problem 42E: Finding the Area of a Triangle In Exercises 37-44, find the area of the triangle. Round your answers... Problem 43E Problem 44E Problem 45E: Height A tree grows at an angle of 4 from the vertical due to prevailing winds. At a point 40 meters... Problem 46E: A boat is traveling due east parallel to the shoreline at a speed of 10 miles per hour. At a given... Problem 47E: Environmental Science The bearing from the Pine Knob fire tower to the Colt Station fire tower is N... Problem 48E: Bridge Design A bridge is built across a small lake from a gazebo to a dock (see figure). The... Problem 49E: Angle of Elevation A 10 -meter utility pole casts 17 -meter shadow directly down a slope when the... Problem 50E: Flight Path A plane flies 500 kilometers with ab earing of 316 from Naples to Elgin (see figure).... Problem 51E Problem 52E Problem 53E: Distance Air traffic controllers continuously monitor the angles of elevation and to an airplane... Problem 54E Problem 55E Problem 56E Problem 57E Problem 58E: True or False? In Exercises 55-58, determine whether the statement is true or false. Justify your... Problem 59E Problem 60E Problem 61E Problem 62E Problem 4ECP: Show that there is no triangle for which a=4 feet, b=14 feet, and A=60.
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For each triangle check all that applies
Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
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