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| Math Central | Quandaries & Queries |
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Question from Darlene, a student: I've been searching for far to long...I know it's a simple question, I just can't find the solution. A towers actual height is 300m. An architect makes a scale drawing using a scale factor of 0.0001 A) how tall is the tower in the drawing? B) if the drawing was 4cm high, what would the scale factor be? I need step by step instructions. Will it (step by step) work on all problems? |
Hi Darlene,
Beside the tower is a 20 m tree. Since the scale is 0.0001 the height of the tree in the drawing is
0.0001 × 20 = 0.002 m.
There are 1000 mm in a m so 0.002 m is 2 mm.
Hence the scale factor times the actual dimension gives you the dimension on the diagram. Can you now see how to answer part B)?
Penny
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