A journalist is standing 4000 feet from the base of a rocket launching pad, recording the launch: 4000 h. The journalist must constantly adjust the angle of the camera to match the rocket's elevation. (b) The angle 0 can be viewed as a function of the height h of the rocket in feet. Find a formula for 9(h). (c) Using part (b), what is the value of 0(4000)? Explain why your answer makes sense geometrically. ((1) Using parts (a)-(b), what is the value of lim 0(h)? Explain why your answer makes sense geometrically. hpoo (f) Ten seconds after the rocket's launch, the rocket has attained an altitude of 3000 feet, and is ascending at a rate of 600 feet / sec. How quickly is the angle 9 increasing at that time? Include units in your answer. (e) We can also think of 0 and h as functions of the time t. Differentiate your equation from part (b) with respect to t to nd an equation relating 379 to 1%. and h