## Friday, April 24, 2020

### Construction Master 5: Right Triangles

Construction Master 5:   Right Triangles

Introduction

The Calculated Industries Construction Master 5 does not have trigonometric keys, but it has four keys to dedicated to solving problems with right triangles, which appear a lot in construction.  Those four keys are:

[ Pitch ]:  there are several ways to enter the pitch:

If the amount is in inches, then the measurement is put as a pitch (x inches per 12 inches).  Example:  3 [ Inch ] [ Pitch]  inputs the angle as a 3 inch pitch (approximately 14.04°)

If the amount is in percent, the angle is entered as a percent grade.   Example: To enter 2% grade, press 2 [ % ] [ Pitch ] (approximately 1.15°)

If the amount is not attached to a unit, the amount is entered as degrees.  Example: To enter 30°, press 30 [ Pitch ].

[ Rise ]:  rise - opposite side.  Amounts can be entered with or without units.

[ Run ]:  run - adjacent side.  Amounts can be entered with or without units.

[ Diag ]:  diagonal - hypotenuse.  Amounts can be entered with or without units.  Solving for the diagonal is known as a squaring-up calculation.

To solve for a variable, just press the key without entering an amount.

After all the variables have been calculated, you can calculate perimeter and area by:

Perimeter:  [ Rcl ] [ Rise ] [ + ] [ Rcl ] [ Run ] [ + ] [ Rcl ] [ Diag ]

Area:  [ Rcl ] [ Rise ] [ × ] [ Rcl ] [ Run ] [ ÷ ] 2

Examples

Example 1:

Given:  Diagonal:  17.4 feet, Pitch:  20°

Results:
Rise:  5.95115 feet;  Run:  16.35065
Perimeter:  39.7018 feet;  Area:  48.65259 square feet

Example 2:

Given: Rise:  50 feet, Run:  40 feet

Results:
Diagonal:  64 feet 3/8 inch;  Pitch:  51.34°
Perimeter:  154 feet 3/8 inch feet;  Area:  1000 square feet

Example 3:

Given:  Grade: 3%, Feet: 17.5 Feet

Note, to enter the grade:  3 [ % ] [ Pitch ]

Results:
Run:  583.3333 ft, Diag:  583.5958 ft
Angle:  1.72°
Perimeter:  1184.429; Area: 5104.167 square feet

Eddie

All original content copyright, © 2011-2020.  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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