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Indian Institute of technology (IIT-BHU), Varanasi
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Height of X Shape given length and top angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height = Length*cos(Top angle/2)
h = L*cos(AngleTop/2)
This formula uses 1 Functions, 2 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
Variables Used
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
Top angle - The Top angle is the top most angle of the Geometry. (Measured in Radian)
STEP 1: Convert Input(s) to Base Unit
Length: 3 Meter --> 3 Meter No Conversion Required
Top angle: 0.528 Radian --> 0.528 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = L*cos(AngleTop/2) --> 3*cos(0.528/2)
Evaluating ... ...
h = 2.89606178267885
STEP 3: Convert Result to Output's Unit
2.89606178267885 Meter --> No Conversion Required
FINAL ANSWER
2.89606178267885 Meter <-- Height
(Calculation completed in 00.021 seconds)

10+ X Shape Calculators

Perimeter of X Shape
Perimeter = 4*(Thickness+Length-Thickness*sin(pi/2-atan(Width/Height))/sin(pi-2*atan(Width/Height))) Go
Inner arm length of X Shape
Inner arm length = Length/2-Thickness*sin(pi/2-atan(Width/Height))/sin(pi-2*atan(Width/Height)) Go
Crossing length of X Shape
Crossing Length = Thickness*sin(pi/2-atan(Width/Height))/sin(pi-2*atan(Width/Height)) Go
Area of X Shape given crossing length
Area = (2*Length*Thickness*sin(Top angle))-(((Crossing Length)^2)*sin(Top angle)) Go
Crossing length of X Shape given top angle
Crossing Length = (Thickness/2)*cosec(Top angle/2) Go
Bottom angle of X Shape
Bottom angle = 2*atan(Width/Height) Go
Right angle of X Shape
Right angle = 2*atan(Height/Width) Go
Left angle of X Shape
Left angle = 2*atan(Height/Width) Go
Top angle of X Shape
Top angle = 2*atan(Width/Height) Go
Outer arm length of X Shape
Outer Arm Length = Length/2 Go

Height of X Shape given length and top angle Formula

Height = Length*cos(Top angle/2)
h = L*cos(AngleTop/2)

What is X Shape?

When a parallelogram shaped bar is reflected and connected with the original bar in the center then the formed shape is known as X shape. The intersection of both bars is a rhombus of which side length is called crossing length.

How to Calculate Height of X Shape given length and top angle?

Height of X Shape given length and top angle calculator uses Height = Length*cos(Top angle/2) to calculate the Height, The Height of X Shape given length and top angle is defined as the total vertical height of the X shape calculated using length and top angle of the X Shape. Height is denoted by h symbol.

How to calculate Height of X Shape given length and top angle using this online calculator? To use this online calculator for Height of X Shape given length and top angle, enter Length (L) & Top angle (AngleTop) and hit the calculate button. Here is how the Height of X Shape given length and top angle calculation can be explained with given input values -> 2.896062 = 3*cos(0.528/2).

FAQ

What is Height of X Shape given length and top angle?
The Height of X Shape given length and top angle is defined as the total vertical height of the X shape calculated using length and top angle of the X Shape and is represented as h = L*cos(AngleTop/2) or Height = Length*cos(Top angle/2). Length is the measurement or extent of something from end to end & The Top angle is the top most angle of the Geometry.
How to calculate Height of X Shape given length and top angle?
The Height of X Shape given length and top angle is defined as the total vertical height of the X shape calculated using length and top angle of the X Shape is calculated using Height = Length*cos(Top angle/2). To calculate Height of X Shape given length and top angle, you need Length (L) & Top angle (AngleTop). With our tool, you need to enter the respective value for Length & Top angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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