Solving for \(\theta\): A Geometry Refresher

[PerryKid]

Homework Statement

Solve for $\theta$

Homework Equations

Unknown

The Attempt at a Solution

I know, but I have forgotten my basic geometry.

 

[TSny]

Hello.

You have a good start with the 60 degree angle that you identified. Try working with the red right triangle in the attachment.

 

[PerryKid]

I wasn't sure if that was a right angle.

If so, then the entire problem was a piece of cake. If not, then it's more complicated than I thought.

 

[TSny]

I wasn't sure if that was a right angle.

I did make the assumption that the blue line shown is constructed to be a "normal line" (i.e., perpendicular to the slope). That's the usual case when working inclined plane problems.

However, if it is not given to be a normal line, then you can't find θ without additional information.

 

[Nickie]

As a scientist, it is important to have a strong understanding of geometry, as it is a fundamental tool in many scientific fields. I would recommend reviewing the basic principles of geometry, such as the relationships between angles and sides in triangles and circles, as well as the properties of different shapes. Once you have a solid foundation, you can approach this problem by identifying the given information and using appropriate equations or geometric principles to solve for \theta. Additionally, it may be helpful to practice solving similar problems to strengthen your skills and understanding.