Word Problems:

[Echunglo]

For a camera and rocket that are 3000 feet away from each other at what rate is the rocket rising when the elevation angle is π/4 radians and increasing at a rate of 0.2 radians/second?

angle = π/4
d.angle/dt = .2 radians/second
x = 3000 feet

tan π/4 = y/3000
sec(π/4)^2 = 1/3000 dy/dt
2 x 3000 = dy/dt

Does dy/dt = 6000 ft/s ?

 

[Deleted member 4993]

For a camera and rocket that are 3000 feet away from each other at what rate is the rocket rising when the elevation angle is π/4 radians and increasing at a rate of 0.2 radians/second?

Please share your work with us, indicating exactly where you are stuck - so that we may know where to begin to help you.

 

[Echunglo]

angle = π/4
d.angle/dt = .2 radians/second
x = 3000 feet

tan π/4 = y/3000
sec(π/4)^2 = 1/3000 dy/dt
2 x 3000 = dy/dt

Does dy/dt = 6000 ft/s ?