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Horizontal Projection of Slant Length Formula

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The Horizontal projection length is the projection of the length of the slant length. Check FAQs

L G = L slant \cdot \cos (∠θ el)

L_G - Horizontal Projection Length?L_slant - Slant Length?∠θ_el - Angle of Elevation?

Horizontal Projection of Slant Length Example

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With units

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Here is how the Horizontal Projection of Slant Length equation looks like with Values.

Here is how the Horizontal Projection of Slant Length equation looks like with Units.

Here is how the Horizontal Projection of Slant Length equation looks like.

10.491 = 14.117 \cdot \cos (42)

10.491km = 14.117km \cdot \cos (42°)

10.491 = 14.117 \cdot \cos (42)

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Horizontal Projection of Slant Length Solution

Follow our step by step solution on how to calculate Horizontal Projection of Slant Length?

FIRST Step Consider the formula

L G = L slant \cdot \cos (∠θ el)

Next Step Substitute values of Variables

∴

L G = 14.117km \cdot \cos (42°)

Next Step Convert Units

∴

L G = 14117m \cdot \cos (0.733rad)

Next Step Prepare to Evaluate

∴

L G = 14117 \cdot \cos (0.733)

Next Step Evaluate

∴

L G = 10490.9755012657m

Next Step Convert to Output's Unit

∴

L G = 10.4909755012657km

LAST Step Rounding Answer

∴

L G = 10.491km

Horizontal Projection of Slant Length Formula Elements

Variables

Functions

Horizontal Projection Length

The Horizontal projection length is the projection of the length of the slant length.

Symbol: L_G

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Horizontal Projection Length

Slant Length

Slant Length refers to the length of path followed by the radio wave signal as it travels from the transmitting satellite to the receiving satellite ground station.

Symbol: L_slant

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Slant Length

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Radio Wave Propagation category

Go Effective Path Length

L eff = \frac{A}{α}

Go Earth Station Altitude

h o = h rain - L slant \cdot \sin (∠θ el)

Go Effective Path Length using Reduction Factor

L eff = L slant \cdot r p

Go Rain Height

h rain = L slant \cdot \sin (∠θ el) + h o

How to Evaluate Horizontal Projection of Slant Length?

Horizontal Projection of Slant Length evaluator uses Horizontal Projection Length = Slant Length*cos(Angle of Elevation) to evaluate the Horizontal Projection Length, The Horizontal Projection of Slant Length formula is defined as the projected length of the slant height on the base. Horizontal Projection Length is denoted by L_G symbol.

How to evaluate Horizontal Projection of Slant Length using this online evaluator? To use this online evaluator for Horizontal Projection of Slant Length, enter Slant Length (L_slant) & Angle of Elevation (∠θ_el) and hit the calculate button.

FAQs on Horizontal Projection of Slant Length

What is the formula to find Horizontal Projection of Slant Length?

The formula of Horizontal Projection of Slant Length is expressed as Horizontal Projection Length = Slant Length*cos(Angle of Elevation). Here is an example- 0.010491 = 14117*cos(0.733038285837481).

How to calculate Horizontal Projection of Slant Length?

With Slant Length (L_slant) & Angle of Elevation (∠θ_el) we can find Horizontal Projection of Slant Length using the formula - Horizontal Projection Length = Slant Length*cos(Angle of Elevation). This formula also uses Cosine function(s).

Can the Horizontal Projection of Slant Length be negative?

No, the Horizontal Projection of Slant Length, measured in Length cannot be negative.

Which unit is used to measure Horizontal Projection of Slant Length?

Horizontal Projection of Slant Length is usually measured using the Kilometer[km] for Length. Meter[km], Millimeter[km], Decimeter[km] are the few other units in which Horizontal Projection of Slant Length can be measured.

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