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


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