How to find angle of inclination of an equilateral

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SUMMARY

The angle of inclination of an equilateral ramp with equal sides of 50 meters is definitively 60 degrees. This conclusion is based on the properties of equilateral triangles, where all angles are equal and sum to 180 degrees. The discussion also touches on the confusion regarding the application of inverse sine, but it is unnecessary in this case since the angle is predetermined by the triangle's properties.

PREREQUISITES
  • Understanding of equilateral triangles and their properties
  • Basic knowledge of trigonometric functions, particularly inverse sine
  • Familiarity with forces acting on objects, including horizontal components
  • Ability to apply geometric principles to solve problems
NEXT STEPS
  • Study the properties of equilateral triangles in geometry
  • Learn about trigonometric functions and their applications in physics
  • Explore the concept of forces and angles in inclined planes
  • Investigate the use of inverse trigonometric functions in problem-solving
USEFUL FOR

Students studying physics or mathematics, particularly those focusing on geometry and trigonometry, as well as educators seeking to clarify concepts related to angles and forces in inclined planes.

nickb145
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Homework Statement


How do i find the angle of the incline of an equilateral ramp with equal sides of 50m and with a horizontal component force of 50 N on a mass of 1kg.


Homework Equations






The Attempt at a Solution



Even though i think of 'equal lateral triangle. wouldn't it be 60*?

But if not i would think that i can get the angle by taking the inverse sine right?

really confused...
 
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nickb145 said:

Homework Statement


How do i find the angle of the incline of an equilateral ramp with equal sides of 50m and with a horizontal component force of 50 N on a mass of 1kg.

Homework Equations



The Attempt at a Solution



Even though i think of 'equal lateral triangle. wouldn't it be 60*?

But if not i would think that i can get the angle by taking the inverse sine right?

really confused...

Of course it's 60 degrees. The sum of the angles of any triangle is 180 degrees. An equilateral triangle has three equal angles. Yes? So anyone angle must be 60 degrees, yes?
 
That is what i thought, but i have no idea why someone else was telling me that i needed to find some other measure
 
But thank you for the input
 

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