The ladder of a fire truck can be elevated (increase of angle ), rotated about the z

The ladder of a fire truck can be elevated (increase of angle ɸ), rotated about the z axis (increase of angle θ), and extended (increase of r). Initially the ladder rests on the truck (ɸ > = 0, θ = 0, and r = 8 m). Then the ladder is moved to a new position by raising the ladder at a rate of 5 deg/s, rotating at a rate of 8 deg/s, and extending the ladder at a rate of 0.6 m/s. Determine and plot the position of the tip of the ladder for 10 seconds.