University:
Winston-Salem Forsyth County Schools
Course:
AP Pre-Calculus
Academic year:

2014
Views:

167

Pages:

2
Author:

Deandrenfr8

Name Key Do your-best!! PreCalculus-Review WS Scc. 6.1-6.2 Law of Sines and Law of Cosines 1. Find all solutions for each triangle to the nearest hundredth. Show a sketch of your triangle(s). Show the equation(s) needed to solve. 1. a 4,5-5,7 C:101.54 A = 30 deg a = 14.57 b = 38.57 AA B = 44.42 deg A = 34.04 deg 43 3. A-51, 40, 50 2 options C 40 8 C 56 4.16,c12, B-63 x = 76.27 deg C: 103.73 6:52:13 8:25.27 b = 40.96 b: 21.97 A C 16 6 C = 45.37 deg A = 71.63 deg b = 15.02 II. Find the area of each triangle. Round to the nearest hundredth. 5. am 4.7.-12.4, 8-47'20' 12.4 6. a = 72cm, b = 83cm, c = 95cm 21.43 units 83 47 6 2889.20 units A a = 4, b = 3, A = 112' 3 2.44 anits2 8.73 units B C 5 III. Show a sketch and your equation(s) that is needed to solve for the indicated pieces of information. Give answers to the nearest hundredth. 9. Two planes leave Raleigh Durham International Airport at the same time. Each flies at a speed of 110 mph. One flies at a bearing N60°E. The other flies at a bearing $40°E. How far apart are the planes after 3 hours? Id 424.24 mi 10. A 35 foot pole stands vertically on a uniformly sloped hillside. At a time when the angle of elevation of the sun is 37º the shadow of the Bale extends directly down the slope. If the hillside has an angle of inclination of 6, find the length of the shadew 8. a = 5 ,B=37^ prime ,C=84^ prime 2. B = 100' ,C=50^ prime prime ,c=30 135 54.27 fl 11. On a ship sailing north, a woman notices that a hotel on shore has a bearing of N20°E. A little while later, after having sailed 40km, she observes that the bearing of the hotel is now N80°E. How far is the ship from the hotel? Hotel 40 15.80km 12. A triangular piece of property has sides with lengths of 40m, 30m, and 60m. Find the measure of each angle of the triangle. A 30 B A=117.28 B: 36.34 C26.38° 60 13. A triangular piece of sheet metal has sides 23.4 cm and 29.6 cm long with the angle opposite the shorter side 4715. Find the length of the third side A 23.4 29.4 2option a 11.43cm C a 28.76 cm 14. The distance between Miami and Orlando is about 220 miles. A pilot flying from Miami to Orlando starts the flight 10 off course to avoid a storm, a) After flying in this direction for 100 miles, how far is the plane from Orlando? 22.75 m² b) If the pilot adjusts his course after 100 miles, how much further is the flight than a direct route? 2.75mi 3% 1 2 200 15. The captain Captain e Coast Guard Cutter Pendant plans to sail to a a port that is 450 miles away and N12E. The of the captain first sails the ship due north to check a buoy. He then turns the ship and sails 316 miles to the port. What bearing should the captain turn the ship to arrive at the port? Hint: tou pass the buay on the way to the port Part N 17. 22° E 450 100