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Height of Right Trapezoid given Acute Angle and Slant Side Formula

GoHeight of Right Trapezoid Formula

GoHeight of Right Trapezoid given both Bases and Acute Angle Formula

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Height of Right Trapezoid is the perpendicular distance between the long base and short base of the Right Trapezoid. Check FAQs

h = S Slant \cdot \sin (∠ Acute)

h - Height of Right Trapezoid?S_Slant - Slant Side of Right Trapezoid?∠_Acute - Acute Angle of Right Trapezoid?

Height of Right Trapezoid given Acute Angle and Slant Side Example

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Here is how the Height of Right Trapezoid given Acute Angle and Slant Side equation looks like with Values.

Here is how the Height of Right Trapezoid given Acute Angle and Slant Side equation looks like with Units.

Here is how the Height of Right Trapezoid given Acute Angle and Slant Side equation looks like.

9.9694 = 11 \cdot \sin (65)

9.9694m = 11m \cdot \sin (65°)

9.9694 = 11 \cdot \sin (65)

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Height of Right Trapezoid given Acute Angle and Slant Side Solution

Follow our step by step solution on how to calculate Height of Right Trapezoid given Acute Angle and Slant Side?

FIRST Step Consider the formula

h = S Slant \cdot \sin (∠ Acute)

Next Step Substitute values of Variables

∴

h = 11m \cdot \sin (65°)

Next Step Convert Units

∴

h = 11m \cdot \sin (1.1345rad)

Next Step Prepare to Evaluate

∴

h = 11 \cdot \sin (1.1345)

Next Step Evaluate

∴

h = 9.96938565740215m

LAST Step Rounding Answer

∴

h = 9.9694m

Height of Right Trapezoid given Acute Angle and Slant Side Formula Elements

Variables

Functions

Height of Right Trapezoid

Height of Right Trapezoid is the perpendicular distance between the long base and short base of the Right Trapezoid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Right Trapezoid

Slant Side of Right Trapezoid

Slant Side of Right Trapezoid is the slanted side or longest side among the pair of non parallel edges of the Right Trapezoid.

Symbol: S_Slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Side of Right Trapezoid

Acute Angle of Right Trapezoid

Acute Angle of Right Trapezoid is defined as the angle formed between long base and slant side of the Right Trapezoid.

Symbol: ∠_Acute

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Acute Angle of Right Trapezoid

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 Right Trapezoid

Go Height of Right Trapezoid

h = \sqrt{{S Slant}^{2} - {(B Long - B Short)}^{2}}

Go Height of Right Trapezoid given both Bases and Acute Angle

h = (B Long - B Short) \cdot \tan (∠ Acute)

Go Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals

h = \frac{d Long \cdot d Short}{B Long + B Short} \cdot \sin (∠ Diagonals)

Go Height of Right Trapezoid given Area and Central Median

h = \frac{A}{M Central}

How to Evaluate Height of Right Trapezoid given Acute Angle and Slant Side?

Height of Right Trapezoid given Acute Angle and Slant Side evaluator uses Height of Right Trapezoid = Slant Side of Right Trapezoid*sin(Acute Angle of Right Trapezoid) to evaluate the Height of Right Trapezoid, Height of Right Trapezoid given Acute Angle and Slant Side formula is defined as the perpendicular distance between the long base and short base of the Right Trapezoid, calculated using acute angle and slant side. Height of Right Trapezoid is denoted by h symbol.

How to evaluate Height of Right Trapezoid given Acute Angle and Slant Side using this online evaluator? To use this online evaluator for Height of Right Trapezoid given Acute Angle and Slant Side, enter Slant Side of Right Trapezoid (S_Slant) & Acute Angle of Right Trapezoid (∠_Acute) and hit the calculate button.

FAQs on Height of Right Trapezoid given Acute Angle and Slant Side

What is the formula to find Height of Right Trapezoid given Acute Angle and Slant Side?

The formula of Height of Right Trapezoid given Acute Angle and Slant Side is expressed as Height of Right Trapezoid = Slant Side of Right Trapezoid*sin(Acute Angle of Right Trapezoid). Here is an example- 9.969386 = 11*sin(1.1344640137961).

How to calculate Height of Right Trapezoid given Acute Angle and Slant Side?

With Slant Side of Right Trapezoid (S_Slant) & Acute Angle of Right Trapezoid (∠_Acute) we can find Height of Right Trapezoid given Acute Angle and Slant Side using the formula - Height of Right Trapezoid = Slant Side of Right Trapezoid*sin(Acute Angle of Right Trapezoid). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Height of Right Trapezoid?

Here are the different ways to Calculate Height of Right Trapezoid-

Height of Right Trapezoid=sqrt(Slant Side of Right Trapezoid^2-(Long Base of Right Trapezoid-Short Base of Right Trapezoid)^2)
Height of Right Trapezoid=(Long Base of Right Trapezoid-Short Base of Right Trapezoid)*tan(Acute Angle of Right Trapezoid)
Height of Right Trapezoid=(Long Diagonal of Right Trapezoid*Short Diagonal of Right Trapezoid)/(Long Base of Right Trapezoid+Short Base of Right Trapezoid)*sin(Angle between Diagonals of Right Trapezoid)

Can the Height of Right Trapezoid given Acute Angle and Slant Side be negative?

No, the Height of Right Trapezoid given Acute Angle and Slant Side, measured in Length cannot be negative.

Which unit is used to measure Height of Right Trapezoid given Acute Angle and Slant Side?

Height of Right Trapezoid given Acute Angle and Slant Side is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Right Trapezoid given Acute Angle and Slant Side can be measured.

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