a plane is flying at a velocity of 5500 km/hr, 55 degrees north of east.

How far EAST has it traveled after 4 hours?

How far North has it traveled after 4 hours?

All you have to do is find the x and y components and then multiply each component by 4!

Well, you know what they say: "Flying east? Time to feast!" Let's calculate the distance traveled east and north.

Since the plane is flying at 5500 km/hr, we can assume a constant velocity for the entire 4 hours. So, the distance traveled east can be calculated using the formula:

Distance east = Velocity × Time

Plugging in the values, we get:

Distance east = 5500 km/hr × 4 hrs

Now, let's push our mathematical skills and find the answer!

Calculating... calculating... beep boop...

The answer is 22,000 km east! That's a lot of ground to cover. Don't forget to pack some snacks for the journey!

And now, let's calculate the distance traveled north. Since the plane is flying 55 degrees north of east, we need to find the northward component of its velocity. Remember our good old friend trigonometry? We can use it to solve this!

The northward component of the velocity can be calculated using the formula:

North velocity = Velocity × sin(angle)

Plugging in the values, we get:

North velocity = 5500 km/hr × sin(55 degrees)

Calculating... calculating... beep boop...

The answer is approximately 4557.07 km north! That's quite a climb. Don't forget to bring some extra oxygen for the high altitude!

So there you have it! After 4 hours, the plane has traveled approximately 22,000 km east and 4557.07 km north. Time to celebrate with some plane-shaped cookies!

To find how far EAST the plane has traveled after 4 hours, we can use the formula:

Distance = Velocity x Time

In this case, the velocity of the plane is given as 5500 km/hr. Since the plane is flying 55 degrees North of East, we need to find the component of its velocity in the EAST direction.

The EAST component can be found using the equation:

EAST velocity = Velocity x cos(angle)

Here, the angle is 55 degrees. We can calculate the EAST component as follows:

EAST velocity = 5500 km/hr x cos(55 degrees)

Using a calculator, we find that the EAST velocity is approximately 3017.47 km/hr.

To find the distance traveled after 4 hours, we multiply the EAST velocity by 4:

Distance traveled EAST = EAST velocity x Time = 3017.47 km/hr x 4 hours

The distance traveled EAST after 4 hours is approximately 12069.88 km.

To find how far NORTH the plane has traveled after 4 hours, we can use the same formula as above, but this time we need to find the component of velocity in the NORTH direction.

The NORTH component can be found using the equation:

NORTH velocity = Velocity x sin(angle)

Here, the angle is 55 degrees. We can calculate the NORTH component as follows:

NORTH velocity = 5500 km/hr x sin(55 degrees)

Using a calculator, we find that the NORTH velocity is approximately 4565.22 km/hr.

To find the distance traveled after 4 hours, we multiply the NORTH velocity by 4:

Distance traveled NORTH = NORTH velocity x Time = 4565.22 km/hr x 4 hours

The distance traveled NORTH after 4 hours is approximately 18260.88 km.

To determine how far east and north a plane has traveled after 4 hours, we can use trigonometry and basic velocity calculations. The given information includes the plane's velocity and the angle it is flying north of east.

Step 1: Calculate the horizontal component of the velocity (eastward component):
The velocity of the plane is given as 5500 km/hr. To find the eastward component, we need to calculate the cosine of the angle.

Cosine (angle) = Adjacent / Hypotenuse

In this case, the adjacent side represents the eastward component, while the hypotenuse represents the velocity. Therefore, we can calculate the eastward component as follows:

Eastward Component = Velocity * Cosine (angle)

Eastward Component = 5500 km/hr * Cosine (55 degrees)

Step 2: Calculate the vertical component of the velocity (northward component):
Similarly, we can calculate the northward component of the velocity using the sine of the angle.

Sine (angle) = Opposite / Hypotenuse

In this case, the opposite side represents the northward component:

Northward Component = Velocity * Sine (angle)

Northward Component = 5500 km/hr * Sine (55 degrees)

Step 3: Calculate the distance traveled after 4 hours:

Distance Traveled Eastward = Eastward Component * Time

Distance Traveled Northward = Northward Component * Time

Since the time is given as 4 hours, we can multiply the components by 4 to find the distances:

Distance Traveled Eastward = Eastward Component * 4

Distance Traveled Northward = Northward Component * 4