Enter the distance and height into the calculator to determine the angle of arrival.
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Angle of Arrival Formula
The following formula is used to calculate the angle of arrival for a given distance and height.
θ = atan(h / d)
Variables:
- θ is the angle of arrival in degrees
- h is the height
- d is the distance
To calculate the angle of arrival, divide the height by the distance and then take the arctangent of the result. Convert the result from radians to degrees.
What is the Angle of Arrival?
The angle of arrival (AoA) is the angle at which a wavefront, such as a radio wave or sound wave, arrives at a receiver relative to some reference direction. It is commonly used in fields such as radar, sonar, and wireless communications to determine the direction from which a signal is coming. The AoA can be calculated using the distance between the transmitter and receiver and the height difference between them.
How to Calculate the Angle of Arrival?
The following steps outline how to calculate the Angle of Arrival.
- First, determine the distance (d) between the transmitter and receiver.
- Next, determine the height (h) difference between the transmitter and receiver.
- Next, calculate the angle of arrival using the formula θ = atan(h / d).
- Finally, convert the result from radians to degrees.
- After inserting the values and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Distance (d) = 100 meters
Height (h) = 50 meters