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Angle Alpha of Ramp Formula

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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. Check FAQs

∠α = \frac{π}{2} - ∠β

∠α - Angle Alpha of Ramp?∠β - Slope Angle Beta of Ramp?π - Archimedes' constant?

Angle Alpha of Ramp Example

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With units

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Here is how the Angle Alpha of Ramp equation looks like with Values.

Here is how the Angle Alpha of Ramp equation looks like with Units.

Here is how the Angle Alpha of Ramp equation looks like.

70 = \frac{3.1416}{2} - 20

70° = \frac{3.1416}{2} - 20°

70 = \frac{3.1416}{2} - 20

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Angle Alpha of Ramp Solution

Follow our step by step solution on how to calculate Angle Alpha of Ramp?

FIRST Step Consider the formula

∠α = \frac{π}{2} - ∠β

Next Step Substitute values of Variables

∴

∠α = \frac{π}{2} - 20°

Next Step Substitute values of Constants

∴

∠α = \frac{3.1416}{2} - 20°

Next Step Convert Units

∴

∠α = \frac{3.1416}{2} - 0.3491rad

Next Step Prepare to Evaluate

∴

∠α = \frac{3.1416}{2} - 0.3491

Next Step Evaluate

∴

∠α = 1.2217304763961rad

Next Step Convert to Output's Unit

∴

∠α = 70.0000000000169°

LAST Step Rounding Answer

∴

∠α = 70°

Angle Alpha of Ramp Formula Elements

Variables

Constants

Angle Alpha of Ramp

Symbol: ∠α

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Angle Alpha of Ramp

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.

Symbol: ∠β

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Slope Angle Beta of Ramp

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Angle Alpha of Ramp category

Go Slope Angle Beta of Ramp

∠β = \frac{π}{2} - ∠α

Go Adjacent Side of Ramp

S Adjacent = \sqrt{H^{2} - {S Opposite}^{2}}

Go Hypotenuse of Ramp

H = \sqrt{{S Adjacent}^{2} + {S Opposite}^{2}}

Go Opposite Side of Ramp

S Opposite = \sqrt{H^{2} - {S Adjacent}^{2}}

How to Evaluate Angle Alpha of Ramp?

Angle Alpha of Ramp evaluator uses Angle Alpha of Ramp = pi/2-Slope Angle Beta of Ramp to evaluate 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 evaluate Angle Alpha of Ramp using this online evaluator? To use this online evaluator for Angle Alpha of Ramp, enter Slope Angle Beta of Ramp (∠β) and hit the calculate button.

FAQs on Angle Alpha of Ramp

What is the formula to find Angle Alpha of Ramp?

The formula of Angle Alpha of Ramp is expressed as Angle Alpha of Ramp = pi/2-Slope Angle Beta of Ramp. Here is an example- 4010.705 = pi/2-0.3490658503988.

How to calculate Angle Alpha of Ramp?

With Slope Angle Beta of Ramp (∠β) we can find Angle Alpha of Ramp using the formula - Angle Alpha of Ramp = pi/2-Slope Angle Beta of Ramp. This formula also uses Archimedes' constant .

Can the Angle Alpha of Ramp be negative?

No, the Angle Alpha of Ramp, measured in Angle cannot be negative.

Which unit is used to measure Angle Alpha of Ramp?

Angle Alpha of Ramp is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle Alpha of Ramp can be measured.

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