Slope Angle Beta of Ramp Calculator

✖Angle Alpha of Ramp is the angle formed between perpendicular, opposite side of the Ramp, and hypotenuse of the right triangle formed when a rectangular surface is raised at an angle to form the Ramp.ⓘ Angle Alpha of Ramp [∠α]

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✖Slope Angle Beta of Ramp is the angle between base, adjacent side of the Ramp, and hypotenuse of right triangle formed when a rectangular surface is raised at an angle to form the Ramp.ⓘ Slope Angle Beta of Ramp [∠β]

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Formula

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Slope Angle Beta of Ramp

Formula

`"∠β" = pi/2-"∠α"`

Example

`"20°"=pi/2-"70°"`

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Slope Angle Beta of Ramp Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slope Angle Beta of Ramp = pi/2-Angle Alpha of Ramp
∠β = pi/2-∠α
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Slope Angle Beta of Ramp - (Measured in Radian) - Slope Angle Beta of Ramp is the angle between base, adjacent side of the Ramp, and hypotenuse of right triangle formed when a rectangular surface is raised at an angle to form the Ramp.
Angle Alpha of Ramp - (Measured in Radian) - Angle Alpha of Ramp is the angle formed between perpendicular, opposite side of the Ramp, and hypotenuse of the right triangle formed when a rectangular surface is raised at an angle to form the Ramp.

STEP 1: Convert Input(s) to Base Unit

Angle Alpha of Ramp: 70 Degree --> 1.2217304763958 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠β = pi/2-∠α --> pi/2-1.2217304763958

Evaluating ... ...

∠β = 0.349065850399097

STEP 3: Convert Result to Output's Unit

0.349065850399097 Radian -->20.000000000017 Degree (Check conversion here)

FINAL ANSWER

20.000000000017 ≈ 20 Degree <-- Slope Angle Beta of Ramp

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 3 Slope Angle Beta of Ramp Calculators

Slope Angle Beta of Ramp given Adjacent Side and Opposite Side

Go Slope Angle Beta of Ramp = arccos(Adjacent Side of Ramp/(sqrt(Adjacent Side of Ramp^2+Opposite Side of Ramp^2)))

Slope Angle Beta of Ramp given Adjacent Side and Hypotenuse

Go Slope Angle Beta of Ramp = arccos(Adjacent Side of Ramp/Hypotenuse of Ramp)

Slope Angle Beta of Ramp

Go Slope Angle Beta of Ramp = pi/2-Angle Alpha of Ramp

Slope Angle Beta of Ramp Formula

Slope Angle Beta of Ramp = pi/2-Angle Alpha of Ramp
∠β = pi/2-∠α

What is Ramp?

An inclined plane, also known as a ramp, is a flat supporting surface tilted at an angle, with one end higher than the other, used as an aid for raising or lowering a load. The inclined plane is one of the six classical simple machines defined by Renaissance scientists.

How to Calculate Slope Angle Beta of Ramp?

Slope Angle Beta of Ramp calculator uses Slope Angle Beta of Ramp = pi/2-Angle Alpha of Ramp to calculate the Slope Angle Beta of Ramp, Slope Angle Beta of Ramp formula is defined as the angle between the base, adjacent side of the Ramp, and hypotenuse of the right triangle formed when a rectangular surface is raised at an angle to form the Ramp. Slope Angle Beta of Ramp is denoted by ∠β symbol.

How to calculate Slope Angle Beta of Ramp using this online calculator? To use this online calculator for Slope Angle Beta of Ramp, enter Angle Alpha of Ramp (∠α) and hit the calculate button. Here is how the Slope Angle Beta of Ramp calculation can be explained with given input values -> 1145.916 = pi/2-1.2217304763958.

FAQ

What is Slope Angle Beta of Ramp?

Slope Angle Beta of Ramp formula is defined as the angle between the base, adjacent side of the Ramp, and hypotenuse of the right triangle formed when a rectangular surface is raised at an angle to form the Ramp and is represented as ∠β = pi/2-∠α or Slope Angle Beta of Ramp = pi/2-Angle Alpha of Ramp. Angle Alpha of Ramp is the angle formed between perpendicular, opposite side of the Ramp, and hypotenuse of the right triangle formed when a rectangular surface is raised at an angle to form the Ramp.

How to calculate Slope Angle Beta of Ramp?

Slope Angle Beta of Ramp formula is defined as the angle between the base, adjacent side of the Ramp, and hypotenuse of the right triangle formed when a rectangular surface is raised at an angle to form the Ramp is calculated using Slope Angle Beta of Ramp = pi/2-Angle Alpha of Ramp. To calculate Slope Angle Beta of Ramp, you need Angle Alpha of Ramp (∠α). With our tool, you need to enter the respective value for Angle Alpha of Ramp and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Slope Angle Beta of Ramp?

In this formula, Slope Angle Beta of Ramp uses Angle Alpha of Ramp. We can use 2 other way(s) to calculate the same, which is/are as follows -

Slope Angle Beta of Ramp = arccos(Adjacent Side of Ramp/(sqrt(Adjacent Side of Ramp^2+Opposite Side of Ramp^2)))
Slope Angle Beta of Ramp = arccos(Adjacent Side of Ramp/Hypotenuse of Ramp)

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