In Luke's drawing, the height of the fountain is 4 cm. It is obtained after finding the real height of the fountain using the scale used by Isabella.
<h3>What is a scale?</h3>
A scale, in mathematics, is a ratio of the dimensions in a drawing to the actual dimensions. The formula is
<em>Scale = dimension in the drawing : actual dimension</em>
Given
- The scale from the fountain to Isabella's drawing is 6 m to 3 cm
- The height in Isabella's drawing = 5 cm
- The scale from the fountain to Luke's drawing is 5 m to 2
What is the height of the fountain in Luke's drawing?
The scale used by Isabella
= 3 cm : 6 m
= 3 cm : 600 cm
= 1 : 200
The actual height of the fountain
= dimension in the drawing × scale
= 200 × 5
= 1.000 cm
The scale used by Luke
= 2 cm : 5 m
= 2 cm : 500 m
= 1 : 250
The height in Luke's drawing
= the actual height ÷ scale
= 1.000 ÷ 250
= 4 cm
Hence, in Luke's drawing, the height of the fountain is 4 cm.
Learn more about scale here:
brainly.com/question/16870997
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