Practice with Law of Cosines Topic Index | Algebra2/Trig Index | Regents Exam Prep Center

Solve the following problems dealing with Law of Cosines.

 1 In , m

 2 In a rhombus whose side measures 22 and the smaller angle is 55º, find the length of the larger diagonal, to the nearest tenth.

 3 Point A is 100 ft on a horizontal line from point B.  Point C, on a line with a 20 degree rise from the horizontal, is 80 ft. from point B.  Find the distance from A to C, to the nearest integer.

 4 In a rhombus with a side of 24, the longer diagonal is 36.  find, to the nearest degree, the larger angle of the rhombus.

 5 A triangular walking course has 2 sides of 230 feet and 360 feet, and the angle between these sides measures 38º.  Find the length of the third side of the course, to the nearest foot.

 6 Three sides of a triangle measure 20m, 30m, and 40m.  Find the largest angle of the triangle to the nearest degree.

 Topic Index | Algebra2/Trig Index | Regents Exam Prep Center Created by Frederick Roberts