Answer Key: Self-Test C-1.7.2

1. Calculate the total fall to the nearest [latex]\frac{1}{8}[/latex] inch:
   1. [latex]11\frac{7}{8}\text{"}[/latex]
2. Calculate the total fall to the nearest [latex]\frac{1}{8}[/latex] inch:
   1. [latex]15\text{"}[/latex]
3. Calculate the pipe length:
   1. [latex]47\text{' }6\text{"}[/latex]
4. Calculate the pipe length:
   1. [latex]88\text{'}[/latex]
5. Calculate the grade in inches per foot:
   1. [latex]\frac{1}{8}\frac{\text{"}}{\text{ft.}}[/latex]
6. Calculate the grade as a percentage:
   1. 0.95%
7. Calculate the total fall to the nearest [latex]\frac{1}{8}[/latex] inch:

   [latex]16\frac{1}{4}\text{"}[/latex]

Calculate the total fall to the nearest [latex]\frac{1}{8}[/latex] inch:

1. [latex]26\frac{3}{4}\text{"}[/latex]

Calculate the length:

1. 16.2 m

Calculate the length:

1. [latex]199.5\text{'}[/latex]

Calculate the grade in inches per foot:

1. [latex]\frac{1}{16}\frac{\text{"}}{\text{ft.}}[/latex]

Calculate the grade as a percentage:

1. 0.54%

Calculate the total fall to the nearest [latex]\frac{1}{8}[/latex] inch:

[latex]4\frac{3}{4}\text{"}[/latex]

Calculate the total fall to the nearest [latex]\frac{1}{8}[/latex] inch:

[latex]22\frac{3}{4}\text{"}[/latex]

Calculate the pipe length:

[latex]100\text{'}[/latex]

Calculate the pipe length:

[latex]36\text{' }11\frac{3}{4}\text{"}[/latex]

Calculate the grade in inches per foot:

[latex]\frac{1}{8}\frac{\text{"}}{\text{ft.}}[/latex]

Calculate the grade as a percentage:

1%

Calculate the total fall to the nearest [latex]\frac{1}{8}[/latex] inch:

[latex]10\frac{3}{8}\text{"}[/latex]

Calculate the total fall to the nearest [latex]\frac{1}{8}[/latex] inch:

[latex]58\frac{1}{2}\text{"}[/latex]

Calculate the length:

[latex]144.23\text{'}[/latex]

Calculate the length:

[latex]360\text{'}[/latex]

Calculate the grade as a ratio:

1:50

Calculate the grade as a ratio:

1:300

Convert each measurement to engineer’s measurement (3 decimal places):

[latex]18.5\text{'}[/latex]
[latex]15.417\text{'}[/latex]
[latex]32.75\text{'}[/latex]
[latex]33.833\text{'}[/latex]
[latex]35.938\text{'}[/latex]

Convert each measurement to builder’s measure (nearest [latex]\frac{1}{8}\text{"}[/latex])”

[latex]84\text{' }3\frac{1}{4}\text{"}[/latex]
[latex]93\text{' }1\text{"}[/latex]
[latex]106\text{' }8\frac{1}{2}\text{"}[/latex]
[latex]123\text{' }5\frac{1}{4}\text{"}[/latex]
[latex]156\text{' }11\text{"}[/latex]

A house construction site has a benchmark of 100.00′, basement floor elevation of 94.20′, first floor elevation of 103.75′ and second floor elevation of 113.00′.

How far below the benchmark is the basement floor?

[latex]5.8\text{'}[/latex]

How far above the benchmark is the first floor?

[latex]3.75\text{'}[/latex]

What is the distance from the basement floor to the first floor?

[latex]9.55\text{'}[/latex]

What is the distance from the first floor to the second floor?

[latex]9.25\text{'}[/latex]

The low end of a sanitary building drain has an elevation of 91.55 feet. The grade is [latex]\frac{1}{8}[/latex] inch per foot.

What is the elevation of a fitting 10′ upstream of the low point?

[latex]91.65\text{'}[/latex]

What is the elevation of a fitting 25′ upstream of the low point?

[latex]91.81\text{'}[/latex]

Refer to Figure 27 to solve for the unknown values.

[latex]86.000\text{'}[/latex]
[latex]86.333\text{'}[/latex]
[latex]87.646\text{'}[/latex]
[latex]88.771\text{'}[/latex]
[latex]92.646\text{'}[/latex]
[latex]92.146\text{'}[/latex]