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Slope angle beta of Ramp given both sides and hypotenuse Solution

STEP 0: Pre-Calculation Summary
Formula Used
angle_b = (pi/2)-(arccos(((Side B^2)+(Hypotenuse of Ramp^2)-(Side A^2))/(2*Side B*Hypotenuse of Ramp)))
∠B = (pi/2)-(arccos(((Sb^2)+(hRamp^2)-(Sa^2))/(2*Sb*hRamp)))
This formula uses 1 Constants, 2 Functions, 3 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)
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)
Hypotenuse of Ramp - Hypotenuse of Ramp is the largest side of Ramp and opposite to its right angle. (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
Hypotenuse of Ramp: 10.63 Meter --> 10.63 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)+(hRamp^2)-(Sa^2))/(2*Sb*hRamp))) --> (pi/2)-(arccos(((7^2)+(10.63^2)-(8^2))/(2*7*10.63)))
Evaluating ... ...
∠B = 0.718814323237384
STEP 3: Convert Result to Output's Unit
0.718814323237384 Radian -->41.1850269750624 Degree (Check conversion here)
FINAL ANSWER
41.1850269750624 Degree <-- Angle B
(Calculation completed in 00.020 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 and hypotenuse Formula

angle_b = (pi/2)-(arccos(((Side B^2)+(Hypotenuse of Ramp^2)-(Side A^2))/(2*Side B*Hypotenuse of Ramp)))
∠B = (pi/2)-(arccos(((Sb^2)+(hRamp^2)-(Sa^2))/(2*Sb*hRamp)))

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 and hypotenuse?

Slope angle beta of Ramp given both sides and hypotenuse calculator uses angle_b = (pi/2)-(arccos(((Side B^2)+(Hypotenuse of Ramp^2)-(Side A^2))/(2*Side B*Hypotenuse of Ramp))) to calculate the Angle B, Slope angle beta of Ramp given both sides and hypotenuse 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 and hypotenuse using this online calculator? To use this online calculator for Slope angle beta of Ramp given both sides and hypotenuse, enter Side B (Sb), Hypotenuse of Ramp (hRamp) & Side A (Sa) and hit the calculate button. Here is how the Slope angle beta of Ramp given both sides and hypotenuse calculation can be explained with given input values -> 41.18503 = (pi/2)-(arccos(((7^2)+(10.63^2)-(8^2))/(2*7*10.63))).

FAQ

What is Slope angle beta of Ramp given both sides and hypotenuse?
Slope angle beta of Ramp given both sides and hypotenuse formula is defined as an angle between side a and hypotenuse of Ramp and is represented as ∠B = (pi/2)-(arccos(((Sb^2)+(hRamp^2)-(Sa^2))/(2*Sb*hRamp))) or angle_b = (pi/2)-(arccos(((Side B^2)+(Hypotenuse of Ramp^2)-(Side A^2))/(2*Side B*Hypotenuse of Ramp))). 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, Hypotenuse of Ramp is the largest side of Ramp and opposite to its right angle & 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 and hypotenuse?
Slope angle beta of Ramp given both sides and hypotenuse formula is defined as an angle between side a and hypotenuse of Ramp is calculated using angle_b = (pi/2)-(arccos(((Side B^2)+(Hypotenuse of Ramp^2)-(Side A^2))/(2*Side B*Hypotenuse of Ramp))). To calculate Slope angle beta of Ramp given both sides and hypotenuse, you need Side B (Sb), Hypotenuse of Ramp (hRamp) & Side A (Sa). With our tool, you need to enter the respective value for Side B, Hypotenuse of Ramp & 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, Hypotenuse of Ramp & 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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