Monday, August 16, 2021

Construction Master 5: Right Triangle Trigonometry

Construction Master 5:   Right Triangle Trigonometry





Solving Right Triangles


The Construction Master 5 has four keys that allow the user to solve right triangles.  The four keys involved are:


[ Rise ] : The rise of the triangle, opposite side (Y).  The value entered can have units.


[ Run ] : The run of the triangle, adjacent side (X).  The value entered can have units.  


[ Diag ] : The diagonal of the triangle, hypotenuse (R).  The value entered can have units.  


[ Pitch ]: Can have one of four values: pitch  (rise in inches over a run of 12 inches), angle (in degrees), slope (rise/run), and grade (percent representation of the slope).


There are four types of entry with the [ Pitch ] key, as stated by the Construction Master 5's Pocket Reference Guide:


1.  n [ Inch ] [ Pitch ] enters the angle as a pitch:  n inch rise over 12 inch run, used in construction and industry mathematics 


2.  Θ (no units attached) [ Pitch ] enters the angle as angle degrees


3.  r [ Conv ] [ Pitch ] enters the value as a slope of rise/run


4.  g [ % ] [ Pitch ] enters the value as a grade percentage, useful in construction and civil engineering


When solving for angle/pitch/slope/grade: repeated presses cycled through the four values: pitch (PTCH), angle (still labeled as PTCH), grade (labeled as %GRD), slope (labeled as SLP).


Examples

(1/16 fraction mode set)


Example 1:

Rise:  36 ft

Run:  45 ft


Results:

Diag: 57 ft 7 9/16 in 


[ Pitch ] key:

Pitch: 9 5/8 in

Angle: 38.66°

Grade: 80%

Slope: 0.8


Example 2:

Rise: 50 ft

Diagonal:  72.5 ft


Results:

Run: 52.5 ft


[ Pitch ] key:

Pitch: 11.42857 in

Angle: 43.60°

Grade: 95.2381%

Slope: 0.952381


Example 3:

Rise: 60 ft

Angle:  30°  (enter as 30 [ Pitch ] )


Results:

Run:  103 ft 11 1/16 in

Diag:  120 ft


[ Pitch ] key:

Pitch: 6 15/16 in

Angle: 30.00°

Grade: 57.73503%

Slope: 0.57735


Example 4:

Rise: 60 ft

Pitch: 4 in (enter as 4 [ Inch ] [ Pitch ])


Results:

Run:  180 ft

Diag:  189 ft 8 13/16 in


[ Pitch ] key:

Pitch: 4 in

Angle: 18.43°

Grade: 33.33333%

Slope: 0.333333



I hope you found this tip helpful,


Eddie


All original content copyright, © 2011-2021.  Edward Shore.   Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited.  This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author. 


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