## Wndsn Telemeter Advanced Tutorials

*Making the most out of our graphical distance computers.*

Extend the measuring range, jump the scales to areas with higher precision marks, or use the Telemeter for triangulation; position determination without a compass, or with only one line of positioning.

## Powers of 10 and Scale Jumps

For measurements that are off the scales or to make use of the finer ranges of the logarithmic center scale, it is sometimes necessary to shift decimal points or 'jump' the scales for more precise measurements.

As input we have:

- 0.3° measured angular size
- 18m known object size

### If the input is off the scale: shift power of 10

18m isn’t part of the scale, so we have to use 1.8m (18/10) to read the result:

- Connect 0.3° and 1.8m (18/10) to get 250-400m on the center scale.
- In scientific notation, 0.3 = 0.3×10
^{0} - 18 = 18×10
^{0}becomes 1.8 = 18×10^{-1}

- In scientific notation, 0.3 = 0.3×10
- Hence, we have to add one zero to the result
- = 2500-4000m

### If the input is too low or high on a scale: shift power of 10

0.3° is too low to read since the string is almost parallel to the scale, so we use 3° (0.3×10):

- Connect 3° (0.3×10) and 1.8m (18/10) to get 35m on the center scale.
- In scientific notation, 3 = 0.3×10
^{1} - 1.8 = 18×10
^{-1}

- In scientific notation, 3 = 0.3×10
- Hence, we have to add two zeros to the result
- = 3500m

### If powers of 10 are impractical: divide or multiply by an arbitrary factor to jump scales

Should the input numbers be impractical to shift by powers of 10, it’s possible to multiply or divide a scale value by an arbitrary factor that shifts the values on that scale.

We take the 1.8 and multiply it by 2 to move down and further to the center of the scale:

- Connect 3° (0.3×10) and 3.6m (18/10×2) to get 70m on the center scale.
- 18 = 18×10
^{0}becomes 1.8 = 18×10^{-1}becomes 1.8×2 = 3.6 = 36×10^{-1} - 0.3 = 0.3×10
^{0}becomes 3 = 0.3×10^{1}

- 18 = 18×10
- Hence, we have to add two zeros to the result and divide by 2
- = 3500m

### If powers of 10 are impractical: divide or multiply by an equal factor on both sides

Should the input numbers be impractical to shift by powers of 10, it’s possible to multiply or divide the values by equal factors on both scales.

Now we also take the 3 and multiply it by 2 to move up and further to the center of the scale:

- Connect 6° (0.3×10×2) and 3.6m (18/10×2) to get 35m on the center scale.
- 0.3 = 0.3×10
^{0}becomes 3 = 0.3×10^{1}becomes 3×2 = 6 = 0.6×10^{1} - 18 = 18×10
^{0}becomes 1.8 = 18×10^{-1}becomes 1.8×2 = 3.6 = 36×10^{-1}

- 0.3 = 0.3×10
- Equal factors on both sides can be ignored but we still add two zeros to the result
- = 3500m