Base Angle of Square Pyramid Calculator

✖Edge Length of Base of Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid.ⓘ Edge Length of Base of Square Pyramid [l_e(Base)]			+10% -10%
✖Slant Height of Square Pyramid is the length measured along the lateral face from the base to the apex of the Square Pyramid along the center of the face.ⓘ Slant Height of Square Pyramid [h_slant]			+10% -10%
✖Height of Square Pyramid is the length of the perpendicular from the apex to the base of the Square Pyramid.ⓘ Height of Square Pyramid [h]			+10% -10%

✖Base Angle of Square Pyramid is the angle between any of the joining triangular faces and the base square face of the Square Pyramid.ⓘ Base Angle of Square Pyramid [∠_Base]

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Base Angle of Square Pyramid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Angle of Square Pyramid = arccos(((Edge Length of Base of Square Pyramid/2)^2+Slant Height of Square Pyramid^2-Height of Square Pyramid^2)/(Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid))
∠_Base = arccos(((l_e(Base)/2)^2+h_slant^2-h^2)/(l_e(Base)*h_slant))
This formula uses 2 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
arccos - Arccosine function, is the inverse function of the cosine function.It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., arccos(Number)

Variables Used

Base Angle of Square Pyramid - (Measured in Radian) - Base Angle of Square Pyramid is the angle between any of the joining triangular faces and the base square face of the Square Pyramid.
Edge Length of Base of Square Pyramid - (Measured in Meter) - Edge Length of Base of Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid.
Slant Height of Square Pyramid - (Measured in Meter) - Slant Height of Square Pyramid is the length measured along the lateral face from the base to the apex of the Square Pyramid along the center of the face.
Height of Square Pyramid - (Measured in Meter) - Height of Square Pyramid is the length of the perpendicular from the apex to the base of the Square Pyramid.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Base of Square Pyramid: 10 Meter --> 10 Meter No Conversion Required
Slant Height of Square Pyramid: 16 Meter --> 16 Meter No Conversion Required
Height of Square Pyramid: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Base = arccos(((l_e(Base)/2)^2+h_slant^2-h^2)/(l_e(Base)*h_slant)) --> arccos(((10/2)^2+16^2-15^2)/(10*16))

Evaluating ... ...

∠_Base = 1.21322522314939

STEP 3: Convert Result to Output's Unit

1.21322522314939 Radian -->69.5126848852904 Degree (Check conversion here)

FINAL ANSWER

69.5126848852904 ≈ 69.51268 Degree <-- Base Angle of Square Pyramid

(Calculation completed in 00.007 seconds)

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Home » Math » Geometry » 3D Geometry » Pyramids » Square Pyramids » Regular Square Pyramid » Base Angle of Square Pyramid

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< Regular Square Pyramid Calculators

Base Angle of Square Pyramid

LaTeX Go Base Angle of Square Pyramid = arccos(((Edge Length of Base of Square Pyramid/2)^2+Slant Height of Square Pyramid^2-Height of Square Pyramid^2)/(Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid))

< Important Formulas of Regular Square Pyramid Calculators

Base Angle of Square Pyramid

Lateral Edge Length of Square Pyramid

LaTeX Go Lateral Edge Length of Square Pyramid = sqrt(Edge Length of Base of Square Pyramid^2/2+Height of Square Pyramid^2)

Slant Height of Square Pyramid

LaTeX Go Slant Height of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/4+Height of Square Pyramid^2)

Base Area of Square Pyramid

LaTeX Go Base Area of Square Pyramid = Edge Length of Base of Square Pyramid^2

Base Angle of Square Pyramid Formula

LaTeX Go

What is a Square Pyramid?

A Square Pyramid is a pyramid with a square base and four isosceles triangular faces that intersect at a point in geometry (the apex). It has 5 faces, which include 4 isosceles triangular faces, and a square base. Also, It has 5 vertices and 8 edges.

How to Calculate Base Angle of Square Pyramid?

Base Angle of Square Pyramid calculator uses Base Angle of Square Pyramid = arccos(((Edge Length of Base of Square Pyramid/2)^2+Slant Height of Square Pyramid^2-Height of Square Pyramid^2)/(Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid)) to calculate the Base Angle of Square Pyramid, Base Angle of Square Pyramid formula is defined as the angle between any of the joining faces and the base face of the Square Pyramid. Base Angle of Square Pyramid is denoted by ∠_Base symbol.

How to calculate Base Angle of Square Pyramid using this online calculator? To use this online calculator for Base Angle of Square Pyramid, enter Edge Length of Base of Square Pyramid (l_e(Base)), Slant Height of Square Pyramid (h_slant) & Height of Square Pyramid (h) and hit the calculate button. Here is how the Base Angle of Square Pyramid calculation can be explained with given input values -> 3982.783 = arccos(((10/2)^2+16^2-15^2)/(10*16)).

FAQ

What is Base Angle of Square Pyramid?

Base Angle of Square Pyramid formula is defined as the angle between any of the joining faces and the base face of the Square Pyramid and is represented as ∠_Base = arccos(((l_e(Base)/2)^2+h_slant^2-h^2)/(l_e(Base)*h_slant)) or Base Angle of Square Pyramid = arccos(((Edge Length of Base of Square Pyramid/2)^2+Slant Height of Square Pyramid^2-Height of Square Pyramid^2)/(Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid)). Edge Length of Base of Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid, Slant Height of Square Pyramid is the length measured along the lateral face from the base to the apex of the Square Pyramid along the center of the face & Height of Square Pyramid is the length of the perpendicular from the apex to the base of the Square Pyramid.

How to calculate Base Angle of Square Pyramid?

Base Angle of Square Pyramid formula is defined as the angle between any of the joining faces and the base face of the Square Pyramid is calculated using Base Angle of Square Pyramid = arccos(((Edge Length of Base of Square Pyramid/2)^2+Slant Height of Square Pyramid^2-Height of Square Pyramid^2)/(Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid)). To calculate Base Angle of Square Pyramid, you need Edge Length of Base of Square Pyramid (l_e(Base)), Slant Height of Square Pyramid (h_slant) & Height of Square Pyramid (h). With our tool, you need to enter the respective value for Edge Length of Base of Square Pyramid, Slant Height of Square Pyramid & Height of Square Pyramid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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