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Height of Right Trapezoid given both Bases and Acute Angle Formula

GoHeight of Right Trapezoid Formula

GoHeight of Right Trapezoid given Acute Angle and Slant Side 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 = (B Long - B Short) \cdot \tan (∠ Acute)

h - Height of Right Trapezoid?B_Long - Long Base of Right Trapezoid?B_Short - Short Base of Right Trapezoid?∠_Acute - Acute Angle of Right Trapezoid?

Height of Right Trapezoid given both Bases and Acute Angle Example

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

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

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

10.7225 = (20 - 15) \cdot \tan (65)

10.7225m = (20m - 15m) \cdot \tan (65°)

10.7225 = (20 - 15) \cdot \tan (65)

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Height of Right Trapezoid given both Bases and Acute Angle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = (20m - 15m) \cdot \tan (65°)

Next Step Convert Units

∴

h = (20m - 15m) \cdot \tan (1.1345rad)

Next Step Prepare to Evaluate

∴

h = (20 - 15) \cdot \tan (1.1345)

Next Step Evaluate

∴

h = 10.7225346025418m

LAST Step Rounding Answer

∴

h = 10.7225m

Height of Right Trapezoid given both Bases and Acute Angle 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

Long Base of Right Trapezoid

Long Base of Right Trapezoid is the longer side among the pair of parallel edges.

Symbol: B_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Base of Right Trapezoid

Short Base of Right Trapezoid

The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid.

Symbol: B_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Base 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

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(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 Acute Angle and Slant Side

h = S Slant \cdot \sin (∠ 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 both Bases and Acute Angle?

Height of Right Trapezoid given both Bases and Acute Angle evaluator uses Height of Right Trapezoid = (Long Base of Right Trapezoid-Short Base of Right Trapezoid)*tan(Acute Angle of Right Trapezoid) to evaluate the Height of Right Trapezoid, The Height of Right Trapezoid given both Bases and Acute Angle formula is defined as the perpendicular distance between the long base and short base of the Right Trapezoid, calculated using both bases and acute angle. Height of Right Trapezoid is denoted by h symbol.

How to evaluate Height of Right Trapezoid given both Bases and Acute Angle using this online evaluator? To use this online evaluator for Height of Right Trapezoid given both Bases and Acute Angle, enter Long Base of Right Trapezoid (B_Long), Short Base of Right Trapezoid (B_Short) & Acute Angle of Right Trapezoid (∠_Acute) and hit the calculate button.

FAQs on Height of Right Trapezoid given both Bases and Acute Angle

What is the formula to find Height of Right Trapezoid given both Bases and Acute Angle?

The formula of Height of Right Trapezoid given both Bases and Acute Angle is expressed as Height of Right Trapezoid = (Long Base of Right Trapezoid-Short Base of Right Trapezoid)*tan(Acute Angle of Right Trapezoid). Here is an example- 10.72253 = (20-15)*tan(1.1344640137961).

How to calculate Height of Right Trapezoid given both Bases and Acute Angle?

With Long Base of Right Trapezoid (B_Long), Short Base of Right Trapezoid (B_Short) & Acute Angle of Right Trapezoid (∠_Acute) we can find Height of Right Trapezoid given both Bases and Acute Angle using the formula - Height of Right Trapezoid = (Long Base of Right Trapezoid-Short Base of Right Trapezoid)*tan(Acute Angle of Right Trapezoid). This formula also uses Tangent (tan) 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=Slant Side of Right Trapezoid*sin(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 both Bases and Acute Angle be negative?

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

Which unit is used to measure Height of Right Trapezoid given both Bases and Acute Angle?

Height of Right Trapezoid given both Bases and Acute 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 Right Trapezoid given both Bases and Acute Angle can be measured.

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Height of Right Trapezoid given both Bases and Acute Angle Formula

​GoHeight of Right Trapezoid Formula

​GoHeight of Right Trapezoid given Acute Angle and Slant Side Formula

Height of Right Trapezoid given both Bases and Acute Angle Example

Height of Right Trapezoid given both Bases and Acute Angle Solution

Height of Right Trapezoid given both Bases and Acute Angle Formula Elements

Other Formulas to find Height of Right Trapezoid

How to Evaluate Height of Right Trapezoid given both Bases and Acute Angle?

FAQs on Height of Right Trapezoid given both Bases and Acute Angle

Variable Name

GoHeight of Right Trapezoid Formula

GoHeight of Right Trapezoid given Acute Angle and Slant Side Formula