SOLUTION: A camera is mounted at a point 3000 ft. from the base of a rocket launching pad. The rocket rises vertically when launched, and the camera's elevation angle is continually adjusted

Question 278147: A camera is mounted at a point 3000 ft. from the base of a rocket launching pad. The rocket rises vertically when launched, and the camera's elevation angle is continually adjusted to follow the bottom of the rocket.
(a) Express the height x as a function of the elevation angle o.
(b) Find the domain of the function in part a.

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A camera is mounted at a point 3000 ft. from the base of a rocket launching pad. The rocket rises vertically when launched, and the camera's elevation angle is continually adjusted to follow the bottom of the rocket.
:
(a) Express the height x as a function of the elevation angle o.
Using the tangent of the angle, side opposite would be the elevation
x = 3000*tan(o)
:
(b) Find the domain of the function in part a.
the angle range is from 0 to < 90 degrees
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