Quiz 21[Section 11.1 11.3} Section 11.1: 1. The London Eye Is a huge Ferris wheel in London, England, which completes one rotation every 30 minutes. The diameter of the wheel is 120 meters, but the passenger capsules sit outside the wheel. Suppose the diameter at the capsules i5 130 meters, and riders board from a platform 5 meters above the ground. 3} Graph the height of a rider with respect to time. b] Express at rider's height above ground as a function of time in minutes. Section 11.2: 2. Solve the following triangles a} a=30,y=45,b=1i] b]a:=6i]|,a=20,c=10 3. Find the area ofthe triangle with a: = 30,y = 4-5", b = 10 Section 11.3: 4. Solve the following triangle: a = 5,39 = 60,c = 10 5. Flnd the area ofthe triangle with a = 5,8 = 60", c = 10 using Heron's Formula Quiz 22 [Section 11.4, 11.5] Section 11.4: 1. Convert the following from rectangular coordinates to polar coordinates. a) 190932) b} P(1.3) 1 2 +cos (E) 2. Convert the equation 1' = in polar coordinates into an equation in rectangular coordinates. 3. Convert the equation x2 + y2 - by = 0 in rectangular coordinates into an equation in polar coordinates. Section 11.5: 4. Graph the following equations: a) r = 4 sin(@) b) r = 4sin (30) c) r = 4 - 4cos(0) d) r = 2 - 4 cos(0) 5. Find the points of intersection of the polar curves: r = 2 and r = 4 cos(20)