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Long Base of Right Trapezoid is the longer side among the pair of parallel edges. Check FAQs
BLong=BShort+(S∠Right⋅cot(∠Acute))
BLong - Long Base of Right Trapezoid?BShort - Short Base of Right Trapezoid?S∠Right - Right Angle Side of Right Trapezoid?∠Acute - Acute Angle of Right Trapezoid?

Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle Example

With values
With units
Only example

Here is how the Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle equation looks like with Values.

Here is how the Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle equation looks like with Units.

Here is how the Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle equation looks like.

19.6631Edit=15Edit+(10Edit⋅cot(65Edit))
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Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle Solution

Follow our step by step solution on how to calculate Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle?

FIRST Step Consider the formula
BLong=BShort+(S∠Right⋅cot(∠Acute))
Next Step Substitute values of Variables
∴ BLong=15m+(10m⋅cot(65°))
Next Step Convert Units
∴ BLong=15m+(10m⋅cot(1.1345rad))
Next Step Prepare to Evaluate
∴ BLong=15+(10⋅cot(1.1345))
Next Step Evaluate
∴BLong=19.6630765815526m
LAST Step Rounding Answer
∴BLong=19.6631m

Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle Formula Elements

Variables
Functions
Long Base of Right Trapezoid
Long Base of Right Trapezoid is the longer side among the pair of parallel edges.
Symbol: BLong
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Long Base of Right TrapezoidOpen Variable
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: BShort
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Short Base of Right TrapezoidOpen Variable
Right Angle Side of Right Trapezoid
Right Angle Side of Right Trapezoid is the non-parallel side of the Right Trapezoid which is also equal to the height of the Right Trapezoid.
Symbol: S∠Right
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Right Angle Side of Right TrapezoidOpen Variable
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 TrapezoidOpen Variable
cot
Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.
Syntax: cot(Angle)

Other Formulas to find Long Base of Right Trapezoid

​Go Long Base of Right Trapezoid given Central Median and Short base
BLong=2⋅MCentral-BShort
​Go Long Base of Right Trapezoid given Slant Side, Short Base, and Acute Angle
BLong=BShort+(SSlant⋅cos(∠Acute))
​Go Long Base of Right Trapezoid given both Sides and Short base
BLong=BShort+SSlant2-S∠Right2
​Go Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals
BLong=(dLong⋅dShortS∠Right⋅sin(∠Diagonals))-BShort

How to Evaluate Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle?

Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle evaluator uses Long Base of Right Trapezoid = Short Base of Right Trapezoid+(Right Angle Side of Right Trapezoid*cot(Acute Angle of Right Trapezoid)) to evaluate the Long Base of Right Trapezoid, The Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle formula is defined as the longer side among the pair of parallel edges of Right Trapezoid, calculated using right angle side, short base, and acute angle. Long Base of Right Trapezoid is denoted by BLong symbol.

How to evaluate Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle using this online evaluator? To use this online evaluator for Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle, enter Short Base of Right Trapezoid (BShort), Right Angle Side of Right Trapezoid (S∠Right) & Acute Angle of Right Trapezoid (∠Acute) and hit the calculate button.

FAQs on Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle

What is the formula to find Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle?
The formula of Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle is expressed as Long Base of Right Trapezoid = Short Base of Right Trapezoid+(Right Angle Side of Right Trapezoid*cot(Acute Angle of Right Trapezoid)). Here is an example- 19.66308 = 15+(10*cot(1.1344640137961)).
How to calculate Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle?
With Short Base of Right Trapezoid (BShort), Right Angle Side of Right Trapezoid (S∠Right) & Acute Angle of Right Trapezoid (∠Acute) we can find Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle using the formula - Long Base of Right Trapezoid = Short Base of Right Trapezoid+(Right Angle Side of Right Trapezoid*cot(Acute Angle of Right Trapezoid)). This formula also uses Cotangent (cot) function(s).
What are the other ways to Calculate Long Base of Right Trapezoid?
Here are the different ways to Calculate Long Base of Right Trapezoid-
  • Long Base of Right Trapezoid=2*Central Median of Right Trapezoid-Short Base of Right TrapezoidOpenImg
  • Long Base of Right Trapezoid=Short Base of Right Trapezoid+(Slant Side of Right Trapezoid*cos(Acute Angle of Right Trapezoid))OpenImg
  • Long Base of Right Trapezoid=Short Base of Right Trapezoid+sqrt(Slant Side of Right Trapezoid^2-Right Angle Side of Right Trapezoid^2)OpenImg
Can the Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle be negative?
No, the Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle, measured in Length cannot be negative.
Which unit is used to measure Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle?
Long Base of Right Trapezoid given Right Angle Side, Short Base 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 Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle can be measured.
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