Long Base of Trapezoid given Height Calculator

✖Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid.ⓘ Short Base of Trapezoid [B_Short]			+10% -10%
✖Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.ⓘ Height of Trapezoid [h]			+10% -10%
✖Larger Acute Angle of Trapezoid is the larger angle on the long base or the angle made by the long base and short leg of the Trapezoid.ⓘ Larger Acute Angle of Trapezoid [∠_{Larger Acute}]			+10% -10%
✖Smaller Acute Angle of Trapezoid is the smaller angle on the long base or the angle made by the long base and long leg of the Trapezoid.ⓘ Smaller Acute Angle of Trapezoid [∠_{Smaller Acute}]			+10% -10%

✖Long Base of Trapezoid is the longer side among the pair of parallel sides of the Trapezoid.ⓘ Long Base of Trapezoid given Height [B_Long]

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Long Base of Trapezoid given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Base of Trapezoid = Short Base of Trapezoid+(Height of Trapezoid*(cot(Larger Acute Angle of Trapezoid)+cot(Smaller Acute Angle of Trapezoid)))
B_Long = B_Short+(h*(cot(∠_{Larger Acute})+cot(∠_{Smaller Acute})))
This formula uses 1 Functions, 5 Variables

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)

Variables Used

Long Base of Trapezoid - (Measured in Meter) - Long Base of Trapezoid is the longer side among the pair of parallel sides of the Trapezoid.
Short Base of Trapezoid - (Measured in Meter) - Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid.
Height of Trapezoid - (Measured in Meter) - Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.
Larger Acute Angle of Trapezoid - (Measured in Radian) - Larger Acute Angle of Trapezoid is the larger angle on the long base or the angle made by the long base and short leg of the Trapezoid.
Smaller Acute Angle of Trapezoid - (Measured in Radian) - Smaller Acute Angle of Trapezoid is the smaller angle on the long base or the angle made by the long base and long leg of the Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Short Base of Trapezoid: 5 Meter --> 5 Meter No Conversion Required
Height of Trapezoid: 8 Meter --> 8 Meter No Conversion Required
Larger Acute Angle of Trapezoid: 70 Degree --> 1.2217304763958 Radian (Check conversion here)
Smaller Acute Angle of Trapezoid: 50 Degree --> 0.872664625997001 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_Long = B_Short+(h*(cot(∠_{Larger Acute})+cot(∠_{Smaller Acute}))) --> 5+(8*(cot(1.2217304763958)+cot(0.872664625997001)))

Evaluating ... ...

B_Long = 14.6245589235522

STEP 3: Convert Result to Output's Unit

14.6245589235522 Meter --> No Conversion Required

FINAL ANSWER

14.6245589235522 ≈ 14.62456 Meter <-- Long Base of Trapezoid

(Calculation completed in 00.007 seconds)

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< Long Base of Trapezoid Calculators

Long Base of Trapezoid given Long Leg

LaTeX Go Long Base of Trapezoid = Short Base of Trapezoid+(Long Leg of Trapezoid*(sin(Smaller Acute Angle of Trapezoid+Larger Acute Angle of Trapezoid))/(sin(Larger Acute Angle of Trapezoid)))

Long Base of Trapezoid given Height

LaTeX Go Long Base of Trapezoid = Short Base of Trapezoid+(Height of Trapezoid*(cot(Larger Acute Angle of Trapezoid)+cot(Smaller Acute Angle of Trapezoid)))

Long Base of Trapezoid

LaTeX Go Long Base of Trapezoid = (2*Area of Trapezoid)/Height of Trapezoid-Short Base of Trapezoid

Long Base of Trapezoid given Central Median

LaTeX Go Long Base of Trapezoid = (2*Central Median of Trapezoid)-Short Base of Trapezoid

Long Base of Trapezoid given Height Formula

LaTeX Go

What is a Trapezoid?

Trapezoid is a quadrilateral with one pair of opposite and parallel sides. The pair of parallel sides is called the bases of the Trapezoid and the pair of non parallel edges is called the legs of the Trapezoid. Out of the four angles, in general a Trapezoid has 2 acute angles and 2 obtuse angles which are pairwise supplementary angles.

How to Calculate Long Base of Trapezoid given Height?

Long Base of Trapezoid given Height calculator uses Long Base of Trapezoid = Short Base of Trapezoid+(Height of Trapezoid*(cot(Larger Acute Angle of Trapezoid)+cot(Smaller Acute Angle of Trapezoid))) to calculate the Long Base of Trapezoid, Long Base of Trapezoid given Height formula is defined as the longer side among the pair of parallel sides of the Trapezoid, and calculated using the height of the Trapezoid. Long Base of Trapezoid is denoted by B_Long symbol.

How to calculate Long Base of Trapezoid given Height using this online calculator? To use this online calculator for Long Base of Trapezoid given Height, enter Short Base of Trapezoid (B_Short), Height of Trapezoid (h), Larger Acute Angle of Trapezoid (∠_{Larger Acute}) & Smaller Acute Angle of Trapezoid (∠_{Smaller Acute}) and hit the calculate button. Here is how the Long Base of Trapezoid given Height calculation can be explained with given input values -> 14.62456 = 5+(8*(cot(1.2217304763958)+cot(0.872664625997001))).

FAQ

What is Long Base of Trapezoid given Height?

Long Base of Trapezoid given Height formula is defined as the longer side among the pair of parallel sides of the Trapezoid, and calculated using the height of the Trapezoid and is represented as B_Long = B_Short+(h*(cot(∠_{Larger Acute})+cot(∠_{Smaller Acute}))) or Long Base of Trapezoid = Short Base of Trapezoid+(Height of Trapezoid*(cot(Larger Acute Angle of Trapezoid)+cot(Smaller Acute Angle of Trapezoid))). Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid, Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid, Larger Acute Angle of Trapezoid is the larger angle on the long base or the angle made by the long base and short leg of the Trapezoid & Smaller Acute Angle of Trapezoid is the smaller angle on the long base or the angle made by the long base and long leg of the Trapezoid.

How to calculate Long Base of Trapezoid given Height?

Long Base of Trapezoid given Height formula is defined as the longer side among the pair of parallel sides of the Trapezoid, and calculated using the height of the Trapezoid is calculated using Long Base of Trapezoid = Short Base of Trapezoid+(Height of Trapezoid*(cot(Larger Acute Angle of Trapezoid)+cot(Smaller Acute Angle of Trapezoid))). To calculate Long Base of Trapezoid given Height, you need Short Base of Trapezoid (B_Short), Height of Trapezoid (h), Larger Acute Angle of Trapezoid (∠_{Larger Acute}) & Smaller Acute Angle of Trapezoid (∠_{Smaller Acute}). With our tool, you need to enter the respective value for Short Base of Trapezoid, Height of Trapezoid, Larger Acute Angle of Trapezoid & Smaller Acute Angle of 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 Long Base of Trapezoid?

In this formula, Long Base of Trapezoid uses Short Base of Trapezoid, Height of Trapezoid, Larger Acute Angle of Trapezoid & Smaller Acute Angle of Trapezoid. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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