I would like some assistance with the following radian measure and limits question

1. (a) Why do we use radian measure instead of degree measure for higher level math? Justify your response. ( 6 marks) 1. (b) Write the following angles in radian measure leaving your answer in n. (n = 180 ) i. 60 ii 325 iii 450 iv 75 v225 [ 2marks each] 1.(c) An airplane takes off 200 yards in front of a 60 foot building. At what angle of elevation must the plane take off in order to avoid crashing into the building? Assume that the airplane flies in a straight line and the angle of elevation remains constant until the airplane flies over the building. 60 me 200 yds. [ 4marks] 2. (a) How does Desmos help with solving Continuity Problems? Can this tool be used to help with proving Discontinuity as well? If yes, please describe how? [ 4 marks] (b)Use the site "desmos.com" to answer the following questions. Create graphs of three functions below to determine if they are continuous or discontinuous. Take a screen shot of each, save in a word document. THE UNIVERSITY OF THE WEST INDIES OPEN CAMPUS Page 23 of 40 Econ 1004 Mathematics for Social Sciences II- Course Information. Academic Year 2021/2022, Semester 2 i.Cos( 3x) (ii) 3Tan(2x+1)