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Angle of Elevation Formula

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The angle of elevation in satellite communication refers to the vertical angle between the horizontal plane and a line connecting an Earth-based satellite dish or antenna to a satellite in space. Check FAQs

∠θ el = ∠θ R - ∠θ tilt - λ e

∠θ_el - Angle of Elevation?∠θ_R - Right Angle?∠θ_tilt - Tilt Angle?λ_e - Earth Station Latitude?

Angle of Elevation Example

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With units

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Here is how the Angle of Elevation equation looks like with Values.

Here is how the Angle of Elevation equation looks like with Units.

Here is how the Angle of Elevation equation looks like.

42 = 90 - 31 - 17

42° = 90° - 31° - 17°

42 = 90 - 31 - 17

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Angle of Elevation Solution

Follow our step by step solution on how to calculate Angle of Elevation?

FIRST Step Consider the formula

∠θ el = ∠θ R - ∠θ tilt - λ e

Next Step Substitute values of Variables

∴

∠θ el = 90° - 31° - 17°

Next Step Convert Units

∴

∠θ el = 1.5708rad - 0.5411rad - 0.2967rad

Next Step Prepare to Evaluate

∴

∠θ el = 1.5708 - 0.5411 - 0.2967

Next Step Evaluate

∴

∠θ el = 0.73303828583748rad

LAST Step Convert to Output's Unit

∴

∠θ el = 42°

Angle of Elevation Formula Elements

Variables

Angle of Elevation

The angle of elevation in satellite communication refers to the vertical angle between the horizontal plane and a line connecting an Earth-based satellite dish or antenna to a satellite in space.

Symbol: ∠θ_el

Measurement: AngleUnit: °

Note: Value should be less than 90.

Formulas to find Angle of Elevation

Right Angle

Right angle refer to the orientation of the satellite antenna's main beam with respect to the Earth's surface.

Symbol: ∠θ_R

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Right Angle

Tilt Angle

Tilt Angle refers to the angular displacement or inclination of a satellite antenna or dish from the vertical axis.

Symbol: ∠θ_tilt

Measurement: AngleUnit: °

Note: Value should be less than 90.

Formulas to find Tilt Angle

Earth Station Latitude

Earth Station Latitude refers to the geographical latitude coordinate of a specific ground-based station on Earth that is equipped to communicate with satellites.

Symbol: λ_e

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Earth Station Latitude

Other formulas in Geostationary Orbit category

Go Angle of Tilt

∠θ tilt = ∠θ R - ∠θ el - λ e

Go Satellite Geostationary Radius

R gso = {(\frac{[GM.Earth] \cdot P day}{4 \cdot π^{2}})}^{\frac{1}{3}}

Go Geostationary Height

H gso = R gso - [Earth-R]

Go Geostationary Radius

R gso = H gso + [Earth-R]

How to Evaluate Angle of Elevation?

Angle of Elevation evaluator uses Angle of Elevation = Right Angle-Tilt Angle-Earth Station Latitude to evaluate the Angle of Elevation, The Angle of Elevation measures the vertical angle between a horizontal line and a line of sight pointing upwards from an observer to an object or point. Angle of Elevation is denoted by ∠θ_el symbol.

How to evaluate Angle of Elevation using this online evaluator? To use this online evaluator for Angle of Elevation, enter Right Angle (∠θ_R), Tilt Angle (∠θ_tilt) & Earth Station Latitude (λ_e) and hit the calculate button.

FAQs on Angle of Elevation

What is the formula to find Angle of Elevation?

The formula of Angle of Elevation is expressed as Angle of Elevation = Right Angle-Tilt Angle-Earth Station Latitude. Here is an example- 1271.966 = 1.5707963267946-0.54105206811814-0.29670597283898.

How to calculate Angle of Elevation?

With Right Angle (∠θ_R), Tilt Angle (∠θ_tilt) & Earth Station Latitude (λ_e) we can find Angle of Elevation using the formula - Angle of Elevation = Right Angle-Tilt Angle-Earth Station Latitude.

Can the Angle of Elevation be negative?

No, the Angle of Elevation, measured in Angle cannot be negative.

Which unit is used to measure Angle of Elevation?

Angle of Elevation is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Elevation can be measured.

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Angle of Elevation Formula

Angle of Elevation Example

Angle of Elevation Solution

Angle of Elevation Formula Elements

Other formulas in Geostationary Orbit category

How to Evaluate Angle of Elevation?

FAQs on Angle of Elevation

Variable Name