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Height of X Shape given Outer Arm Length and Left or Right Angle Formula

GoHeight of X Shape given Bottom or Top Angle Formula

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The Height of X Shape is the distance from the top to the bottom of the X Shape. Check FAQs

h = 2 \cdot l Outer Arm \cdot \sin (\frac{∠ Left/Right}{2})

h - Height of X shape?l_{Outer Arm} - Outer Arm Length of X Shape?∠_Left/Right - Left and Right Angle of X Shape?

Height of X Shape given Outer Arm Length and Left or Right Angle Example

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Here is how the Height of X Shape given Outer Arm Length and Left or Right Angle equation looks like with Values.

Here is how the Height of X Shape given Outer Arm Length and Left or Right Angle equation looks like with Units.

Here is how the Height of X Shape given Outer Arm Length and Left or Right Angle equation looks like.

18.4776 = 2 \cdot 10 \cdot \sin (\frac{135}{2})

18.4776m = 2 \cdot 10m \cdot \sin (\frac{135°}{2})

18.4776 = 2 \cdot 10 \cdot \sin (\frac{135}{2})

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Height of X Shape given Outer Arm Length and Left or Right Angle Solution

Follow our step by step solution on how to calculate Height of X Shape given Outer Arm Length and Left or Right Angle?

FIRST Step Consider the formula

h = 2 \cdot l Outer Arm \cdot \sin (\frac{∠ Left/Right}{2})

Next Step Substitute values of Variables

∴

h = 2 \cdot 10m \cdot \sin (\frac{135°}{2})

Next Step Convert Units

∴

h = 2 \cdot 10m \cdot \sin (\frac{2.3562rad}{2})

Next Step Prepare to Evaluate

∴

h = 2 \cdot 10 \cdot \sin (\frac{2.3562}{2})

Next Step Evaluate

∴

h = 18.477590650224m

LAST Step Rounding Answer

∴

h = 18.4776m

Height of X Shape given Outer Arm Length and Left or Right Angle Formula Elements

Variables

Functions

Height of X shape

The Height of X Shape is the distance from the top to the bottom of the X Shape.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of X shape

Outer Arm Length of X Shape

The Outer Arm Length of X Shape is the length of the outer arm of the X Shape.

Symbol: l_{Outer Arm}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Arm Length of X Shape

Left and Right Angle of X Shape

The Left and Right Angle of x Shape is the right and left angles of the X Shape, formed due to the intersection of two parallelogram-shaped bars.

Symbol: ∠_Left/Right

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Left and Right Angle of X Shape

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Height of X shape

Go Height of X Shape given Bottom or Top Angle

h = l Bar \cdot \cos (\frac{∠ Bottom/Top}{2})

How to Evaluate Height of X Shape given Outer Arm Length and Left or Right Angle?

Height of X Shape given Outer Arm Length and Left or Right Angle evaluator uses Height of X shape = 2*Outer Arm Length of X Shape*sin(Left and Right Angle of X Shape/2) to evaluate the Height of X shape, The Height of X Shape given Outer Arm Length and Left or Right Angle formula is defined as the total vertical height of the X Shape from end to end, calculated using outer arm length and left or right angle. Height of X shape is denoted by h symbol.

How to evaluate Height of X Shape given Outer Arm Length and Left or Right Angle using this online evaluator? To use this online evaluator for Height of X Shape given Outer Arm Length and Left or Right Angle, enter Outer Arm Length of X Shape (l_{Outer Arm}) & Left and Right Angle of X Shape (∠_Left/Right) and hit the calculate button.

FAQs on Height of X Shape given Outer Arm Length and Left or Right Angle

What is the formula to find Height of X Shape given Outer Arm Length and Left or Right Angle?

The formula of Height of X Shape given Outer Arm Length and Left or Right Angle is expressed as Height of X shape = 2*Outer Arm Length of X Shape*sin(Left and Right Angle of X Shape/2). Here is an example- 18.47759 = 2*10*sin(2.3561944901919/2).

How to calculate Height of X Shape given Outer Arm Length and Left or Right Angle?

With Outer Arm Length of X Shape (l_{Outer Arm}) & Left and Right Angle of X Shape (∠_Left/Right) we can find Height of X Shape given Outer Arm Length and Left or Right Angle using the formula - Height of X shape = 2*Outer Arm Length of X Shape*sin(Left and Right Angle of X Shape/2). This formula also uses Sine function(s).

What are the other ways to Calculate Height of X shape?

Here are the different ways to Calculate Height of X shape-

Height of X shape=Bar Length of X Shape*cos(Bottom and Top Angle of X Shape/2)

Can the Height of X Shape given Outer Arm Length and Left or Right Angle be negative?

No, the Height of X Shape given Outer Arm Length and Left or Right Angle, measured in Length cannot be negative.

Which unit is used to measure Height of X Shape given Outer Arm Length and Left or Right Angle?

Height of X Shape given Outer Arm Length and Left or Right Angle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of X Shape given Outer Arm Length and Left or Right Angle can be measured.

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