QuestionHow can you use a scale drawing with scale $s$ to find an actual length $L$ ?

Studdy Solution

STEP 1

Assumptions1. We have a scale drawing. . We know the scale of the drawing.
3. The scale of the drawing is accurate.
4. The scale is given as a ratio of the drawing size to the actual size.

STEP 2

To use the scale drawing to find an actual length, we first need to measure the length on the scale drawing. Let's denote this length as $_{drawing}$ .

STEP 3

The scale is usually given as a ratio, such as1:n or1/n, where1 unit on the drawing corresponds to n units in reality. Let's denote the scale as1:n.

STEP 4

To find the actual length, we multiply the length on the scale drawing by the scale factor. The scale factor is the number 'n' in our scale ratio1:n.
$_{actual} = L_{drawing} \\times n$

STEP 5

Plug in the measured length from the scale drawing and the scale factor into the formula to calculate the actual length.
For example, if $_{drawing}$ is2cm and the scale is150, then the actual length would be $_{actual} =2cm \\times50 =100cm$ So, the actual length is100cm.

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