Determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle. Then solve the triangle. Round your answer to two decimal places a = 19, b=21, C = 75° O a. Law of Cosines, A=48.77°, B= 56.23⁰. c = 24.40 O b. Law of Sines, No solution Oc. Law of Sines; A=75°, B=48.77°, c=21 O d. Law of Cosines, No solution Oe. Law of Sines, A=48.77°, B=75°,c=21

If the angle of elevation to the sun is 74.3 when a flagpole casts a shadow of 22.5 feet, what is the height of the flagpole? a. 63.2 feet b. 79.5 feet c. 83.1 feet d. 80.0 feet

The Learning Tower of Pisa The bell tower of the cathedral in Pisa, Italy, leans 5.6 from the vertical. A tourist stands 105 m from its base, with the tower leaning directly toward her. She measures the angle of elevation to the top of the tower to be 29.2. Find the length of the tower to the nearest meter.

The four cases in which we can solve a triangle are ASASSASASSSS a In which of these cases can we use the Law of Sines to solve the triangle? b Which of the cases listed can lead more than one solution the ambiguous case?

Albert lives in New Orleans. At noon on a summer day, the angle of elevation of the sun is 84. The window in Alberts room is 4.0 feet high and 6.5 feet wide. (Sec Figure 24.) a. Calculate the area of the floor surface in Alberts room that is illuminated by the sun when the angle of elevation of the sun is 84. b. One winter day the angle of elevation of the sun outside Alberts window is 37. Will the illuminated area of the floor in Alberts room be greater on the summer day, or on the winter day? Figure 24

Environmental Science The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65 E, and the two towers are 30 kilometers apart. A fire spotted by rangers in each tower has a bearing of N 80 E from Pine Knob and S 70 E from Colt Station (see figure). Find the distance of the fire from each tower.

Height of a Tower A 600-ft guy wire is attached to the top of a communications tower. If the wire makes an angle of 65 with the ground, how tall is the communications tower?