LI] 1 .} 'itten Homework 8 - W23 Due Thurs. March 2, 2023 x 1rst Name Last Name USU Student ID # Instructions: Do all of your work on this paper. Scan the completed problems and create one PDF of your work. Your PDP needs to be at least the same number of pages as the original docu ment. Upload the PDF to this assignment in GRADESCOPE by the due date. (The Cradeseope assignment can be accessed through Canvas.) (1} (Inverse Functions) A boat sails directly away from a 250 meter tall skyscraper that stands on the edge of a harbor. Let a: be the horizontal distance between the base of the building and the boat. The angle 0, measured in radians. is the angle of ele\\-'ation from the boat to the top of the building. (a) Sketch a picture of this situation. (b) Give a formula relating the angle 0 to the horizontal distance :1: between the boat and the building. (c) Use your equation to solve for 0. (d) \""hat are the units of %r' Page 1 of 5 Math 251 Written Homework 8 - W23 Due Thurs. March 2, 2023 (e) Do you expect the value of a to be positive or negative? Explain. (f) How fast is the angle of elevation changing when the boat is 125 meters from the building? Page 2 of 5