Height of Right Trapezoid given both Bases and Acute Angle Calculator

✖Long Base of Right Trapezoid is the longer side among the pair of parallel edges.ⓘ Long Base of Right Trapezoid [B_Long]			+10% -10%
✖The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid.ⓘ Short Base of Right Trapezoid [B_Short]			+10% -10%
✖Acute Angle of Right Trapezoid is defined as the angle formed between long base and slant side of the Right Trapezoid.ⓘ Acute Angle of Right Trapezoid [∠_Acute]			+10% -10%

✖Height of Right Trapezoid is the perpendicular distance between the long base and short base of the Right Trapezoid.ⓘ Height of Right Trapezoid given both Bases and Acute Angle [h]

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Formula

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Height of Right Trapezoid given both Bases and Acute Angle

Formula

`"h" = ("B"_{"Long"}-"B"_{"Short"})*tan("∠"_{"Acute"})`

Example

`"10.72253m"=("20m"-"15m")*tan("65°")`

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Height of Right Trapezoid given both Bases and Acute Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Right Trapezoid = (Long Base of Right Trapezoid-Short Base of Right Trapezoid)*tan(Acute Angle of Right Trapezoid)
h = (B_Long-B_Short)*tan(∠_Acute)
This formula uses 1 Functions, 4 Variables

Functions Used

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., tan(Angle)

Variables Used

Height of Right Trapezoid - (Measured in Meter) - Height of Right Trapezoid is the perpendicular distance between the long base and short base of the Right Trapezoid.
Long Base of Right Trapezoid - (Measured in Meter) - Long Base of Right Trapezoid is the longer side among the pair of parallel edges.
Short Base of Right Trapezoid - (Measured in Meter) - The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid.
Acute Angle of Right Trapezoid - (Measured in Radian) - Acute Angle of Right Trapezoid is defined as the angle formed between long base and slant side of the Right Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Long Base of Right Trapezoid: 20 Meter --> 20 Meter No Conversion Required
Short Base of Right Trapezoid: 15 Meter --> 15 Meter No Conversion Required
Acute Angle of Right Trapezoid: 65 Degree --> 1.1344640137961 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (B_Long-B_Short)*tan(∠_Acute) --> (20-15)*tan(1.1344640137961)

Evaluating ... ...

h = 10.7225346025418

STEP 3: Convert Result to Output's Unit

10.7225346025418 Meter --> No Conversion Required

FINAL ANSWER

10.7225346025418 ≈ 10.72253 Meter <-- Height of Right Trapezoid

(Calculation completed in 00.004 seconds)

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< 6 Height of Right Trapezoid Calculators

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

Go 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)

Height of Right Trapezoid

Go 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 given both Bases and Acute Angle

Go Height of Right Trapezoid = (Long Base of Right Trapezoid-Short Base of Right Trapezoid)*tan(Acute Angle of Right Trapezoid)

Height of Right Trapezoid given Area and both Bases

Go Height of Right Trapezoid = (2*Area of Right Trapezoid)/(Long Base of Right Trapezoid+Short Base of Right Trapezoid)

Height of Right Trapezoid given Acute Angle and Slant Side

Go Height of Right Trapezoid = Slant Side of Right Trapezoid*sin(Acute Angle of Right Trapezoid)

Height of Right Trapezoid given Area and Central Median

Go Height of Right Trapezoid = Area of Right Trapezoid/Central Median of Right Trapezoid

Height of Right Trapezoid given both Bases and Acute Angle Formula

Height of Right Trapezoid = (Long Base of Right Trapezoid-Short Base of Right Trapezoid)*tan(Acute Angle of Right Trapezoid)
h = (B_Long-B_Short)*tan(∠_Acute)

What is a Right Trapezoid?

A Right Trapezoid is a flat figure with four sides, such that two of them are parallel to each other, called bases and also one of the other sides is perpendicular to the bases, In other words, it means that such a trapezoid must contain two right angles, one acute angle and one obtuse angle. It is used while evaluating the area under the curve, under that trapezoidal rule

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

Height of Right Trapezoid given both Bases and Acute Angle calculator uses Height of Right Trapezoid = (Long Base of Right Trapezoid-Short Base of Right Trapezoid)*tan(Acute Angle of Right Trapezoid) to calculate 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 calculate Height of Right Trapezoid given both Bases and Acute Angle using this online calculator? To use this online calculator 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. Here is how the Height of Right Trapezoid given both Bases and Acute Angle calculation can be explained with given input values -> 10.72253 = (20-15)*tan(1.1344640137961).

FAQ

What is Height of Right Trapezoid given both Bases and Acute Angle?

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 and is represented as h = (B_Long-B_Short)*tan(∠_Acute) or Height of Right Trapezoid = (Long Base of Right Trapezoid-Short Base of Right Trapezoid)*tan(Acute Angle of Right Trapezoid). Long Base of Right Trapezoid is the longer side among the pair of parallel edges, The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid & Acute Angle of Right Trapezoid is defined as the angle formed between long base and slant side of the Right Trapezoid.

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

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 is calculated using Height of Right Trapezoid = (Long Base of Right Trapezoid-Short Base of Right Trapezoid)*tan(Acute Angle of Right Trapezoid). To calculate Height of Right Trapezoid given both Bases and Acute Angle, you need Long Base of Right Trapezoid (B_Long), Short Base of Right Trapezoid (B_Short) & Acute Angle of Right Trapezoid (∠_Acute). With our tool, you need to enter the respective value for Long Base of Right Trapezoid, Short Base of Right Trapezoid & Acute Angle of Right Trapezoid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Height of Right Trapezoid?

In this formula, Height of Right Trapezoid uses Long Base of Right Trapezoid, Short Base of Right Trapezoid & Acute Angle of Right Trapezoid. We can use 5 other way(s) to calculate the same, which is/are as follows -

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)
Height of Right Trapezoid = Area of Right Trapezoid/Central Median of Right Trapezoid
Height of Right Trapezoid = (2*Area of Right Trapezoid)/(Long Base of Right Trapezoid+Short Base of Right Trapezoid)

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