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Slope angle beta of Ramp given both sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))))))
∠B = (pi/2)-(arccos(((Sb^2)+((Sa^2)+(Sb^2))-(Sa^2))/(2*Sb*(sqrt((Sa^2)+(Sb^2))))))
This formula uses 1 Constants, 3 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
cos - Trigonometric cosine function, cos(Angle)
arccos - Inverse trigonometric cosine function, arccos(Number)
sqrt - Squre root function, sqrt(Number)
Variables Used
Side B - Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
Side A - Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side B: 7 Meter --> 7 Meter No Conversion Required
Side A: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
∠B = (pi/2)-(arccos(((Sb^2)+((Sa^2)+(Sb^2))-(Sa^2))/(2*Sb*(sqrt((Sa^2)+(Sb^2)))))) --> (pi/2)-(arccos(((7^2)+((8^2)+(7^2))-(8^2))/(2*7*(sqrt((8^2)+(7^2))))))
Evaluating ... ...
∠B = 0.718829999621624
STEP 3: Convert Result to Output's Unit
0.718829999621624 Radian -->41.1859251657174 Degree (Check conversion here)
FINAL ANSWER
41.1859251657174 Degree <-- Angle B
(Calculation completed in 00.015 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

Slope angle beta of Ramp given both sides Formula

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))))))
∠B = (pi/2)-(arccos(((Sb^2)+((Sa^2)+(Sb^2))-(Sa^2))/(2*Sb*(sqrt((Sa^2)+(Sb^2))))))

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 given both sides?

Slope angle beta of Ramp given both sides calculator uses 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)))))) to calculate the Angle B, Slope angle beta of Ramp given both sides formula is defined as an angle between side a and hypotenuse of Ramp. Angle B and is denoted by ∠B symbol.

How to calculate Slope angle beta of Ramp given both sides using this online calculator? To use this online calculator for Slope angle beta of Ramp given both sides, enter Side B (Sb) & Side A (Sa) and hit the calculate button. Here is how the Slope angle beta of Ramp given both sides calculation can be explained with given input values -> 41.18593 = (pi/2)-(arccos(((7^2)+((8^2)+(7^2))-(8^2))/(2*7*(sqrt((8^2)+(7^2)))))).

FAQ

What is Slope angle beta of Ramp given both sides?
Slope angle beta of Ramp given both sides formula is defined as an angle between side a and hypotenuse of Ramp and is represented as ∠B = (pi/2)-(arccos(((Sb^2)+((Sa^2)+(Sb^2))-(Sa^2))/(2*Sb*(sqrt((Sa^2)+(Sb^2)))))) or 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)))))). Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back & Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.
How to calculate Slope angle beta of Ramp given both sides?
Slope angle beta of Ramp given both sides formula is defined as an angle between side a and hypotenuse of Ramp is calculated using 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)))))). To calculate Slope angle beta of Ramp given both sides, you need Side B (Sb) & Side A (Sa). With our tool, you need to enter the respective value for Side B & Side A 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 B?
In this formula, Angle B uses Side B & Side A. 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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