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Height of Isosceles Trapezoid given Lateral Edge and Acute Angle Formula

GoHeight of Isosceles Trapezoid Formula

GoHeight of Isosceles Trapezoid given Area Formula

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Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid. Check FAQs

h = l e(Lateral) \cdot \sin (∠ Acute)

h - Height of Isosceles Trapezoid?l_e(Lateral) - Lateral Edge of Isosceles Trapezoid?∠_Acute - Acute Angle of Isosceles Trapezoid?

Height of Isosceles Trapezoid given Lateral Edge and Acute Angle Example

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Here is how the Height of Isosceles Trapezoid given Lateral Edge and Acute Angle equation looks like with Values.

Here is how the Height of Isosceles Trapezoid given Lateral Edge and Acute Angle equation looks like with Units.

Here is how the Height of Isosceles Trapezoid given Lateral Edge and Acute Angle equation looks like.

4.0958 = 5 \cdot \sin (55)

4.0958m = 5m \cdot \sin (55°)

4.0958 = 5 \cdot \sin (55)

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2D Geometry » fx Height of Isosceles Trapezoid given Lateral Edge and Acute Angle

Height of Isosceles Trapezoid given Lateral Edge and Acute Angle Solution

Follow our step by step solution on how to calculate Height of Isosceles Trapezoid given Lateral Edge and Acute Angle?

FIRST Step Consider the formula

h = l e(Lateral) \cdot \sin (∠ Acute)

Next Step Substitute values of Variables

∴

h = 5m \cdot \sin (55°)

Next Step Convert Units

∴

h = 5m \cdot \sin (0.9599rad)

Next Step Prepare to Evaluate

∴

h = 5 \cdot \sin (0.9599)

Next Step Evaluate

∴

h = 4.09576022144444m

LAST Step Rounding Answer

∴

h = 4.0958m

Height of Isosceles Trapezoid given Lateral Edge and Acute Angle Formula Elements

Variables

Functions

Height of Isosceles Trapezoid

Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Isosceles Trapezoid

Lateral Edge of Isosceles Trapezoid

Lateral Edge of Isosceles Trapezoid is the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid.

Symbol: l_e(Lateral)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Lateral Edge of Isosceles Trapezoid

Acute Angle of Isosceles Trapezoid

Acute Angle of Isosceles Trapezoid is any of the angles on the longer base edge made with the lateral and non parallel edges of the Isosceles Trapezoid.

Symbol: ∠_Acute

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Acute Angle of Isosceles 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 Isosceles Trapezoid

Go Height of Isosceles Trapezoid

h = \frac{1}{2} \cdot \sqrt{(4 \cdot {l e(Lateral)}^{2}) - {(B Long - B Short)}^{2}}

Go Height of Isosceles Trapezoid given Area

h = \frac{2 \cdot A}{B Long + B Short}

Go Height of Isosceles Trapezoid given Long and Short Base

h = (\frac{B Long - B Short}{2}) \cdot \tan (∠ Acute)

How to Evaluate Height of Isosceles Trapezoid given Lateral Edge and Acute Angle?

Height of Isosceles Trapezoid given Lateral Edge and Acute Angle evaluator uses Height of Isosceles Trapezoid = Lateral Edge of Isosceles Trapezoid*sin(Acute Angle of Isosceles Trapezoid) to evaluate the Height of Isosceles Trapezoid, Height of Isosceles Trapezoid given Lateral Edge and Acute Angle formula is defined as the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid, and calculated using lateral edge and acute angle of the Isosceles Trapezoid. Height of Isosceles Trapezoid is denoted by h symbol.

How to evaluate Height of Isosceles Trapezoid given Lateral Edge and Acute Angle using this online evaluator? To use this online evaluator for Height of Isosceles Trapezoid given Lateral Edge and Acute Angle, enter Lateral Edge of Isosceles Trapezoid (l_e(Lateral)) & Acute Angle of Isosceles Trapezoid (∠_Acute) and hit the calculate button.

FAQs on Height of Isosceles Trapezoid given Lateral Edge and Acute Angle

What is the formula to find Height of Isosceles Trapezoid given Lateral Edge and Acute Angle?

The formula of Height of Isosceles Trapezoid given Lateral Edge and Acute Angle is expressed as Height of Isosceles Trapezoid = Lateral Edge of Isosceles Trapezoid*sin(Acute Angle of Isosceles Trapezoid). Here is an example- 4.09576 = 5*sin(0.959931088596701).

How to calculate Height of Isosceles Trapezoid given Lateral Edge and Acute Angle?

With Lateral Edge of Isosceles Trapezoid (l_e(Lateral)) & Acute Angle of Isosceles Trapezoid (∠_Acute) we can find Height of Isosceles Trapezoid given Lateral Edge and Acute Angle using the formula - Height of Isosceles Trapezoid = Lateral Edge of Isosceles Trapezoid*sin(Acute Angle of Isosceles Trapezoid). This formula also uses Sine (sin) function(s).

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

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

Height of Isosceles Trapezoid=1/2*sqrt((4*Lateral Edge of Isosceles Trapezoid^2)-(Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)^2)
Height of Isosceles Trapezoid=(2*Area of Isosceles Trapezoid)/(Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)
Height of Isosceles Trapezoid=((Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)/2)*tan(Acute Angle of Isosceles Trapezoid)

Can the Height of Isosceles Trapezoid given Lateral Edge and Acute Angle be negative?

No, the Height of Isosceles Trapezoid given Lateral Edge and Acute Angle, measured in Length cannot be negative.

Which unit is used to measure Height of Isosceles Trapezoid given Lateral Edge and Acute Angle?

Height of Isosceles Trapezoid given Lateral Edge 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 Isosceles Trapezoid given Lateral Edge and Acute Angle can be measured.

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