How to find angle of inclination of an equilateral

[nickb145]

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...

 

[Dick]

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?

 

[nickb145]

That is what i thought, but i have no idea why someone else was telling me that i needed to find some other measure

 

[nickb145]

But thank you for the input

 

[Nickie]

To find the angle of inclination of an equilateral ramp, you can use the formula tanθ = opposite/adjacent. In this case, the opposite side is the vertical height of the ramp, which is equal to the horizontal component force of 50 N acting on the mass of 1 kg. The adjacent side is the length of the ramp, which is 50 m. Therefore, tanθ = 50/50 = 1. Solving for θ, we get θ = tan^-1(1) = 45°. This means that the angle of inclination of the equilateral ramp is 45°, which is also equal to the angle of the lateral triangle. This is because an equilateral triangle has all three angles equal to each other, and each angle must be 60° for the sum of angles to be 180°. Therefore, the angle of inclination for an equilateral ramp is 60° or 45° depending on the orientation of the ramp.