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)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Indian Institute of Information Technology (IIIT), Bhopal
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2 Angle Alpha of Ramp Calculators

Angle Alpha of Ramp given Opposite Side and Hypotenuse
Go Angle Alpha of Ramp = arccos(Opposite Side of Ramp/Hypotenuse of Ramp)
Angle Alpha of Ramp
Go Angle Alpha of Ramp = pi/2-Slope Angle Beta of Ramp

Angle Alpha of Ramp Formula

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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