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1 year ago

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Luke and isabella make scale drawings of a fountain. the scale from the fountain to isabella's drawing is 6 m to 3 cm. the heigh

t of the fountain in isabella's drawing is 5 cm. the scale from the fountain to luke's drawing is 5 m to 2 cm. what is the height of the fountain in luke's drawing?

1 answer:

alina1380 [7]1 year ago

7 0

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

#SPJ4

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