a camera is mounted at a point 3000 ft from the base of a rocket lanuching pad. the shuttle rises vertically when launched, and the camera's elevation angle is continually adjusted to follow the bottom of the rocket.
a= choose letters to represent the height of the rocket and the elevation angle of the camera, and express the height as a function of the elevation angle.
b= find the natural domain and the range of the function ignoring any physical restrictions on the values of the variables.
c= modify the domain and range appropiately to account for the physical restrictions on the values of the variables.
d= generate the graph of height versus the elevation on a graphing utility,and useit to estimate the height of the rocket when the elevation angle is π/4˜ 0.7854 radian, compare this estimate to the exact height.