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Angle alpha between opposite side and hypotenuse of Ramp given slope angle beta Solution

STEP 0: Pre-Calculation Summary
Formula Used
angle_a = (pi/2)-Angle B
∠A = (pi/2)-∠B
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Angle B - The angle B the space between two intersecting lines or surfaces at or close to the point where they meet. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Angle B: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
∠A = (pi/2)-∠B --> (pi/2)-0.785398163397301
Evaluating ... ...
∠A = 0.785398163397596
STEP 3: Convert Result to Output's Unit
0.785398163397596 Radian -->45.0000000000169 Degree (Check conversion here)
FINAL ANSWER
45.0000000000169 Degree <-- Angle A
(Calculation completed in 00.016 seconds)

5 Angle of Ramp Calculators

Slope angle beta of Ramp given both sides
angle_b = (pi/2)-(arccos(((Side B^2)+((Side A^2)+(Side B^2))-(Side A^2))/(2*Side B*(sqrt((Side A^2)+(Side B^2)))))) Go
Slope angle beta of Ramp given both sides and hypotenuse
angle_b = (pi/2)-(arccos(((Side B^2)+(Hypotenuse of Ramp^2)-(Side A^2))/(2*Side B*Hypotenuse of Ramp))) Go
Angle alpha between opposite side and hypotenuse of Ramp given both sides and hypotenuse
angle_a = arccos(((Side B^2)+(Hypotenuse of Ramp^2)-(Side A^2))/(2*Side B*Hypotenuse of Ramp)) Go
Slope angle beta of Ramp given angle alpha between opposite side and hypotenuse
angle_b = (pi/2)-Angle A Go
Angle alpha between opposite side and hypotenuse of Ramp given slope angle beta
angle_a = (pi/2)-Angle B Go

Angle alpha between opposite side and hypotenuse of Ramp given slope angle beta Formula

angle_a = (pi/2)-Angle B
∠A = (pi/2)-∠B

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 between opposite side and hypotenuse of Ramp given slope angle beta?

Angle alpha between opposite side and hypotenuse of Ramp given slope angle beta calculator uses angle_a = (pi/2)-Angle B to calculate the Angle A, Angle alpha between opposite side and hypotenuse of Ramp given slope angle beta formula is defined as an angle between side b and hypotenuse c of Ramp. Angle A and is denoted by ∠A symbol.

How to calculate Angle alpha between opposite side and hypotenuse of Ramp given slope angle beta using this online calculator? To use this online calculator for Angle alpha between opposite side and hypotenuse of Ramp given slope angle beta, enter Angle B (∠B) and hit the calculate button. Here is how the Angle alpha between opposite side and hypotenuse of Ramp given slope angle beta calculation can be explained with given input values -> 45 = (pi/2)-0.785398163397301.

FAQ

What is Angle alpha between opposite side and hypotenuse of Ramp given slope angle beta?
Angle alpha between opposite side and hypotenuse of Ramp given slope angle beta formula is defined as an angle between side b and hypotenuse c of Ramp and is represented as ∠A = (pi/2)-∠B or angle_a = (pi/2)-Angle B. The angle B the space between two intersecting lines or surfaces at or close to the point where they meet.
How to calculate Angle alpha between opposite side and hypotenuse of Ramp given slope angle beta?
Angle alpha between opposite side and hypotenuse of Ramp given slope angle beta formula is defined as an angle between side b and hypotenuse c of Ramp is calculated using angle_a = (pi/2)-Angle B. To calculate Angle alpha between opposite side and hypotenuse of Ramp given slope angle beta, you need Angle B (∠B). With our tool, you need to enter the respective value for Angle B 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 A?
In this formula, Angle A uses Angle B. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • angle_a = arccos(((Side B^2)+(Hypotenuse of Ramp^2)-(Side A^2))/(2*Side B*Hypotenuse of Ramp))
  • angle_b = (pi/2)-Angle A
  • angle_b = (pi/2)-(arccos(((Side B^2)+(Hypotenuse of Ramp^2)-(Side A^2))/(2*Side B*Hypotenuse of Ramp)))
  • angle_b = (pi/2)-(arccos(((Side B^2)+((Side A^2)+(Side B^2))-(Side A^2))/(2*Side B*(sqrt((Side A^2)+(Side B^2))))))
  • angle_a = (pi/2)-Angle B
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