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Horizontal Projection of Slant Length Calculator

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Radio Wave Propagation Geostationary Orbit Satellite Orbital Characteristics

✖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.ⓘ Slant Length [L_slant]			+10% -10%
✖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.ⓘ Angle of Elevation [∠θ_el]			+10% -10%

✖The Horizontal projection length is the projection of the length of the slant length.ⓘ Horizontal Projection of Slant Length [L_G]

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Horizontal Projection of Slant Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Projection Length = Slant Length*cos(Angle of Elevation)
L_G = L_slant*cos(∠θ_el)
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Horizontal Projection Length - (Measured in Meter) - The Horizontal projection length is the projection of the length of the slant length.
Slant Length - (Measured in Meter) - 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.
Angle of Elevation - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Slant Length: 14.117 Kilometer --> 14117 Meter (Check conversion here)
Angle of Elevation: 42 Degree --> 0.733038285837481 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_G = L_slant*cos(∠θ_el) --> 14117*cos(0.733038285837481)

Evaluating ... ...

L_G = 10490.9755012657

STEP 3: Convert Result to Output's Unit

10490.9755012657 Meter -->10.4909755012657 Kilometer (Check conversion here)

FINAL ANSWER

10.4909755012657 ≈ 10.49098 Kilometer <-- Horizontal Projection Length

(Calculation completed in 00.004 seconds)

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Created by Passya Saikeshav Reddy

CVR COLLEGE OF ENGINEERING (CVR), India

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Vellore Institute of Technology (VIT Vellore), Vellore

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Effective Path Length using Reduction Factor

LaTeX Go Effective Path Length = Slant Length*Reduction Factor

Horizontal Projection of Slant Length Formula

LaTeX Go

Horizontal Projection Length = Slant Length*cos(Angle of Elevation)
L_G = L_slant*cos(∠θ_el)

Why reduction factor is used?

The strength reduction factor is used to decrease the estimated strength of structural members, i.e., to compute the design strength of concrete elements. It is used to account for uncertainties in materials, possible design, and construction errors.

How to Calculate Horizontal Projection of Slant Length?

Horizontal Projection of Slant Length calculator uses Horizontal Projection Length = Slant Length*cos(Angle of Elevation) to calculate 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 calculate Horizontal Projection of Slant Length using this online calculator? To use this online calculator for Horizontal Projection of Slant Length, enter Slant Length (L_slant) & Angle of Elevation (∠θ_el) and hit the calculate button. Here is how the Horizontal Projection of Slant Length calculation can be explained with given input values -> 0.010491 = 14117*cos(0.733038285837481).

FAQ

What is Horizontal Projection of Slant Length?

The Horizontal Projection of Slant Length formula is defined as the projected length of the slant height on the base and is represented as L_G = L_slant*cos(∠θ_el) or Horizontal Projection Length = Slant Length*cos(Angle of Elevation). 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 & 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.

How to calculate Horizontal Projection of Slant Length?

The Horizontal Projection of Slant Length formula is defined as the projected length of the slant height on the base is calculated using Horizontal Projection Length = Slant Length*cos(Angle of Elevation). To calculate Horizontal Projection of Slant Length, you need Slant Length (L_slant) & Angle of Elevation (∠θ_el). With our tool, you need to enter the respective value for Slant Length & Angle of Elevation and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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