February of 2016 (Pre-Calculus 5.0) 2/1/16 Expand 3 x 4 y 4 2/2/16 Find 9th term of 2 x 3 y 14 2/3/16 NO Bell Work 2/4/16 1. Find the missing sides (x, and y) in simplest radical form using special right triangle. 30° x y 5 2. Find the missing side (x) in simplest radical form using Pythagorean Theorem. 5 2 3 5 x 2/5/16 Find the missing sides (x, and y in radical form) of special right triangle. 45° 22” 14” y x x x 4 6 y y 4 3 30° 60° x x 2/8/16 Sketch a right triangle such that csc 5 . Label the angle measure and missing side. 2 Then find the remaining trig functions. 2/9/16 Solve for unknowns using trig ratio. Round nearest tenth. x 24 y y 25 23 x 10 2/10/16 Find the Area and Perimeter in nearest tenth. B A B 40 17 43 33 47 A 12 D C C 2/11/16 Draw, set up and solve. 1. A 7.5 m ladder rests against the side of a wall. The bottom of the ladder is 4.5 m from the base of the wall. Determine the measure of the angle between the ladder and the ground to nearest tenth. How high does the ladder reached from the ground? 2. From the top of 88 ft. tall light house, Mr. Kim is looking down at a ship. The angle of depression to a ship in the ocean is 280 . How far is the ship from the base of the lighthouse? 3. From a horizontal distance of 80 ft., the angle of elevation to the top of a flagpole is 47 0 . Calculate the height of the flagpole to the nearest tenth. 2/16/16 Draw, label, and solve. 1. You are standing 250 yards from the base of a building. The angle of elevation to the bottom of a smokestack is 4305'23" , while the angle of elevation to the top is 48050 '55" . Fine the height of the smokestack nearest tenth. 2. A ship leaves port at 11 AM heading to N54°W at 20 knots (1 knot =1.151 mph). At 5:30 PM, what is its distance in miles nearest tenth from port and bearing in order to return to port? D Draw, label, and solve. 1. An airplane is flying directly over a straight highway at an elevation of 5,000 feet. Two motorists are driving cars on the highway on opposite sides of the plane. The angle of depression to one of the car is 50 and the angle of depression to the other car is 35 . How far apart are the cars? 2. A boat leaves port and travels on a straight path that takes it 50 miles north and 25 miles east. What is the boat’s straight line distance from port? What bearing should the boat take in order to return to the port? 2/19/16 Find the area and perimeter nearest tenth. 17 ft 59 40 2/22/16 Use the Law of Sines to solve for missing side and angle. (Round to 2 decimal places). C 9 38 A 64 B 2/23/16 Determine the number of possible triangles and then solve the triangle nearest tenth. C A 9 9 14 7 38 A 27 C B B 2/24/16 Determine the number of possible triangles and then solve the triangle nearest tenth. C 20 15 35 B A 2/25/16 Use the Law of Cosines and Law of Sines to solve for missing side(s) and angle(s). Round nearest tenth. 74 C 68 B A 45 63 142◦ A 46 B C 2/26/16 State the number of triangle(s) then solve for triangle(s). Round nearest tenth. In RPQ, mR 48, q 31 km, r 29 km. 2/29/16 Draw, label, and solve. An airplane takes off from the airport and flies heading of N37°E for 680 miles, then flies at a heading of S40°E for 750 miles. What is the bearing and distance back to the airport?