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ICSE Class 10 Mathematics Question 28 of 49

Multiple-Choice Questions — Question 28

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Question 28

The scale factor of a picture and the actual height of Sonia is 20 cm : 1.6 m. If her height in the picture is 18 cm, then her actual height is :

  1. 14.4 m

  2. 2.25 m

  3. 1.78 m

  4. 1.44 m

Answer

Scale factor of a picture and the actual height = 20 cm : 1.6 m = 20 cm : 160 cm

∴Height in pictureActual height=20 cm160 cm⇒18Actual height=20 cm160 cm⇒Actual height=18×16020=144 cm=1.44 m.\therefore \dfrac{\text{Height in picture}}{\text{Actual height}} = \dfrac{\text{20 cm}}{\text{160 cm}} \\[1em] \Rightarrow \dfrac{18}{\text{Actual height}} = \dfrac{\text{20 cm}}{\text{160 cm}} \\[1em] \Rightarrow \text{Actual height} = \dfrac{18 \times 160}{20} = \text{144 cm} = 1.44 \text{ m}.

Hence, Option 4 is the correct option.