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Height of Trapezoid given Short Leg and Smaller Obtuse Angle Formula

GoHeight of Trapezoid Formula

GoHeight of Trapezoid given Long Leg Formula

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Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid. Check FAQs

h = L Short \cdot \sin (∠ Smaller Obtuse)

h - Height of Trapezoid?L_Short - Short Leg of Trapezoid?∠_{Smaller Obtuse} - Smaller Obtuse Angle of Trapezoid?

Height of Trapezoid given Short Leg and Smaller Obtuse Angle Example

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Here is how the Height of Trapezoid given Short Leg and Smaller Obtuse Angle equation looks like with Values.

Here is how the Height of Trapezoid given Short Leg and Smaller Obtuse Angle equation looks like with Units.

Here is how the Height of Trapezoid given Short Leg and Smaller Obtuse Angle equation looks like.

8.4572 = 9 \cdot \sin (110)

8.4572m = 9m \cdot \sin (110°)

8.4572 = 9 \cdot \sin (110)

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Height of Trapezoid given Short Leg and Smaller Obtuse Angle Solution

Follow our step by step solution on how to calculate Height of Trapezoid given Short Leg and Smaller Obtuse Angle?

FIRST Step Consider the formula

h = L Short \cdot \sin (∠ Smaller Obtuse)

Next Step Substitute values of Variables

∴

h = 9m \cdot \sin (110°)

Next Step Convert Units

∴

h = 9m \cdot \sin (1.9199rad)

Next Step Prepare to Evaluate

∴

h = 9 \cdot \sin (1.9199)

Next Step Evaluate

∴

h = 8.45723358707429m

LAST Step Rounding Answer

∴

h = 8.4572m

Height of Trapezoid given Short Leg and Smaller Obtuse Angle Formula Elements

Variables

Functions

Height of Trapezoid

Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Trapezoid

Short Leg of Trapezoid

Short Leg of Trapezoid is the shorter side among the pair of non parallel and opposite sides of the Trapezoid.

Symbol: L_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Leg of Trapezoid

Smaller Obtuse Angle of Trapezoid

Smaller Obtuse Angle of Trapezoid is the smaller angle on the short base or the angle made by the short base and short leg of the Trapezoid.

Symbol: ∠_{Smaller Obtuse}

Measurement: AngleUnit: °

Note: Value should be between 90 to 180.

Formulas to find Smaller Obtuse Angle of 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 Trapezoid

Go Height of Trapezoid

h = \sqrt{{L Long}^{2} - {(\frac{{(B Long - B Short)}^{2} + {L Long}^{2} - {L Short}^{2}}{2 \cdot (B Long - B Short)})}^{2}}

Go Height of Trapezoid given Long Leg

h = L Long \cdot \sin (∠ Smaller Acute)

Go Height of Trapezoid given Short Leg

h = L Short \cdot \sin (∠ Larger Acute)

Go Height of Trapezoid given Both Diagonals and Base Angle between Diagonals

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

How to Evaluate Height of Trapezoid given Short Leg and Smaller Obtuse Angle?

Height of Trapezoid given Short Leg and Smaller Obtuse Angle evaluator uses Height of Trapezoid = Short Leg of Trapezoid*sin(Smaller Obtuse Angle of Trapezoid) to evaluate the Height of Trapezoid, Height of Trapezoid given Short Leg and Smaller Obtuse Angle formula is defined as the perpendicular distance between the pair of parallel sides of the Trapezoid, and calculated using short leg and smaller obtuse angle of the Trapezoid. Height of Trapezoid is denoted by h symbol.

How to evaluate Height of Trapezoid given Short Leg and Smaller Obtuse Angle using this online evaluator? To use this online evaluator for Height of Trapezoid given Short Leg and Smaller Obtuse Angle, enter Short Leg of Trapezoid (L_Short) & Smaller Obtuse Angle of Trapezoid (∠_{Smaller Obtuse}) and hit the calculate button.

FAQs on Height of Trapezoid given Short Leg and Smaller Obtuse Angle

What is the formula to find Height of Trapezoid given Short Leg and Smaller Obtuse Angle?

The formula of Height of Trapezoid given Short Leg and Smaller Obtuse Angle is expressed as Height of Trapezoid = Short Leg of Trapezoid*sin(Smaller Obtuse Angle of Trapezoid). Here is an example- 8.457234 = 9*sin(1.9198621771934).

How to calculate Height of Trapezoid given Short Leg and Smaller Obtuse Angle?

With Short Leg of Trapezoid (L_Short) & Smaller Obtuse Angle of Trapezoid (∠_{Smaller Obtuse}) we can find Height of Trapezoid given Short Leg and Smaller Obtuse Angle using the formula - Height of Trapezoid = Short Leg of Trapezoid*sin(Smaller Obtuse Angle of Trapezoid). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Height of Trapezoid?

Here are the different ways to Calculate Height of Trapezoid-

Height of Trapezoid=sqrt(Long Leg of Trapezoid^2-(((Long Base of Trapezoid-Short Base of Trapezoid)^2+Long Leg of Trapezoid^2-Short Leg of Trapezoid^2)/(2*(Long Base of Trapezoid-Short Base of Trapezoid)))^2)
Height of Trapezoid=Long Leg of Trapezoid*sin(Smaller Acute Angle of Trapezoid)
Height of Trapezoid=Short Leg of Trapezoid*sin(Larger Acute Angle of Trapezoid)

Can the Height of Trapezoid given Short Leg and Smaller Obtuse Angle be negative?

No, the Height of Trapezoid given Short Leg and Smaller Obtuse Angle, measured in Length cannot be negative.

Which unit is used to measure Height of Trapezoid given Short Leg and Smaller Obtuse Angle?

Height of Trapezoid given Short Leg and Smaller Obtuse 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 Trapezoid given Short Leg and Smaller Obtuse Angle can be measured.

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