# What is the angle and displacement of the plane?

• mathnerd21
In summary, the problem involves a radar station tracking an airplane approaching from the east. The initial range is 412 m at a 40° angle above the horizon. The final range is 810 m, after the airplane has moved 123° in the vertical east-west plane. The task is to find the displacement of the airplane during the observation period in terms of magnitude and direction.
mathnerd21

## Homework Statement

In the figure below, a radar station detects an airplane approaching directly from the east. At first observation, the range to the plane is d1 = 412 m at 40° above the horizon. The airplane is tracked for another 123° in the vertical east–west plane, the range at final contact being d2 = 810 m. Find the displacement of the airplane during the period of observation.
magnitude ______ meters
direction ______° (counter-clockwise from east)

Please fill out the entire homework template including relevant equations and your attempt at solving the problem.

It would also be helpful if you attached the figure referred to in the problem.

## 1. What is meant by the angle of a plane?

The angle of a plane refers to the inclination or slope of the plane's surface relative to a horizontal plane. It is typically measured in degrees or radians.

## 2. How is the angle of a plane calculated?

The angle of a plane can be calculated using the trigonometric function tangent. By dividing the height of the plane by its length, the angle of the plane can be determined.

## 3. What is displacement of a plane?

The displacement of a plane refers to the distance and direction of its movement from an initial position to a final position. It is typically measured in units such as meters or kilometers.

## 4. How is displacement of a plane different from its angle?

The angle of a plane only describes the slope of its surface, while displacement takes into account the distance and direction of its movement. Displacement is a vector quantity, while angle is a scalar quantity.

## 5. Can the angle and displacement of a plane change?

Yes, the angle and displacement of a plane can both change as the plane moves or its orientation is altered. These changes can be measured and calculated using scientific principles and equations.

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