A plane directly above Denver, Colorado, (altitude 1650 meters) flies to Bismark, North Dakota (altitude 550 meters). It travels at 625 km/hour at a constant height of 7500 meters above the line joining Denver and Bismark. Bismark is about 850 km in the direction 60∘ north of east from Denver. Find parametric equations describing the plane's motion. Assume the origin is at sea level beneath Denver, that the x-axis points east and the y-axis points north, and that the earth is flat. Measure distances in kilometers and time in hours.

Plane move from x to y axes. The parametric equations are:

X = f (t) , y = g (t)

The z coordinate of plane remain unchanged, so z = 0

Step-by-step explanation:

The position of a point particle r relative to fixed origin describes the location of the particle.

Evolution of r in time, we can use the law of motion for particle:

r = r (t)

This vector equation equal to the three scalar equations along the Cartesian axes.

X = x (t)

Y = y (t)

Z = z (t)

Distance of plane = 625 km/hour

Height = 7500 meters

Bismarck is about 850 km from Denver.

The distance of Bismarck = 850 – 625

                                    = 225 km / hour

Time can be calculated by the formula:

Time = distance / speed

The plane move Denver to Bismarck, let Denver is at x-axes and Bismarck at y-axes.

Plane move from x to y axes. The parametric equations are:

X = f (t) , y = g (t)

The z coordinate of plane remain unchanged, so z = 0

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.