Angle Alpha of Ramp Calculator

✖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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✖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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Angle Alpha of Ramp Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Slope Angle Beta of Ramp: 20 Degree --> 0.3490658503988 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠α = pi/2-∠β --> pi/2-0.3490658503988

Evaluating ... ...

∠α = 1.2217304763961

STEP 3: Convert Result to Output's Unit

1.2217304763961 Radian -->70.0000000000169 Degree (Check conversion here)

FINAL ANSWER

70.0000000000169 ≈ 70 Degree <-- Angle Alpha of Ramp

(Calculation completed in 00.004 seconds)

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Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< Angle Alpha of Ramp Calculators

Angle Alpha of Ramp given Opposite Side and Hypotenuse

LaTeX Go Angle Alpha of Ramp = arccos(Opposite Side of Ramp/Hypotenuse of Ramp)

Angle Alpha of Ramp

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

< Important Formulas of Ramp Calculators

Adjacent Side of Ramp

LaTeX Go Adjacent Side of Ramp = sqrt(Hypotenuse of Ramp^2-Opposite Side of Ramp^2)

Hypotenuse of Ramp

LaTeX Go Hypotenuse of Ramp = sqrt(Adjacent Side of Ramp^2+Opposite Side of Ramp^2)

Slope Angle Beta of Ramp

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

Angle Alpha of Ramp

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

Angle Alpha of Ramp Formula

LaTeX Go

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

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 Angle Alpha of Ramp?

Angle Alpha of Ramp calculator uses Angle Alpha of Ramp = pi/2-Slope Angle Beta of Ramp to calculate the Angle Alpha of Ramp, Angle Alpha of Ramp formula is defined as the angle formed between the 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 is denoted by ∠α symbol.

How to calculate Angle Alpha of Ramp using this online calculator? To use this online calculator for Angle Alpha of Ramp, enter Slope Angle Beta of Ramp (∠β) and hit the calculate button. Here is how the Angle Alpha of Ramp calculation can be explained with given input values -> 4010.705 = pi/2-0.3490658503988.

FAQ

What is Angle Alpha of Ramp?

Angle Alpha of Ramp formula is defined as the angle formed between the 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 and is represented as ∠α = pi/2-∠β or Angle Alpha of Ramp = pi/2-Slope Angle Beta of Ramp. 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.

How to calculate Angle Alpha of Ramp?

Angle Alpha of Ramp formula is defined as the angle formed between the 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 is calculated using Angle Alpha of Ramp = pi/2-Slope Angle Beta of Ramp. To calculate Angle Alpha of Ramp, you need Slope Angle Beta of Ramp (∠β). With our tool, you need to enter the respective value for Slope Angle Beta 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 Angle Alpha of Ramp?

In this formula, Angle Alpha of Ramp uses Slope Angle Beta of Ramp. We can use 1 other way(s) to calculate the same, which is/are as follows -

Angle Alpha of Ramp = arccos(Opposite Side of Ramp/Hypotenuse of Ramp)

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