Calculating Depth for Bench Seating

[Jarvis]

My cabinet shop builds window bench seating for kitchens.  I am ultimately trying to determine overall projection into the room.

The basic parameters are angle of the back (A), projection from the wall (B) and height to the window sill (C).    What I am trying to calculate is how deep the base portion (D) would be.

I am thinking this has something to do with the pythagorean theorem but my math skills are not big enough to be sure.

Angle (A) is typically 10º though can vary.

Is there a way to derive Dimension D from a filemaker calculation?

 

 

[comment]

Could it be =

C * Tan ( Radians ( A ) ) + B

?

[Jarvis]

Comment,

Thank you so much for that formula!  

I just went out to the shop and measured a bench we have in production.  I compared it with what your calculation said it should be and baddabing-baddaboom we built it just like the Filemaker says we should.

You are really talented at this but I think you missed your calling.

You should have been a Cabinetmaker!

[comment]

54 minutes ago, Jarvis said:

You should have been a Cabinetmaker!

LOL. I shall take that as a compliment, even though ...

Anyway, I believe the thanks should go to Euclid and Archimedes.

 

[Dr.Gopala krishnam raju AMBATI]

On 11/6/2019 at 9:55 PM, comment said:

LOL. I shall take that as a compliment, even though ...

Anyway, I believe the thanks should go to Euclid and Archimedes.

 

UR 21ST CENTURY ARCHIMEDES