In a ship of length 28 m, height of its mast is 12 m. If the height of

1.	In a ship of length 28 m, height of its mast is 12 m. If the height of the mast in its model is 9 cm what is the length of the model ship?
Answer» The length of ship and the height of its mast are in direct proportion. ⇒ \(\frac{x_1}{y_1}= \frac{x_2}{y_2}\) , x₁ = 28 ,y₁ = 12 , x₂ = ? , y₂ = 9 ⇒ x₂ = \(\frac{x_1\,\times\,y_2}{y_1}\) = \(\frac{28\,\times\,9}{12}\) x₂= 7 × 3 = 21 ∴ The length of model ship = 21 m

In a ship of length 28 m, height of its mast is 12 m. If the height of the mast in its model is 9 cm what is the length of the model ship?

Answer»

The length of ship and the height of its mast are in direct proportion.

⇒ \(\frac{x_1}{y_1}= \frac{x_2}{y_2}\) , x₁ = 28 ,y₁ = 12 , x₂ = ? , y₂ = 9

⇒ x₂ = \(\frac{x_1\,\times\,y_2}{y_1}\) = \(\frac{28\,\times\,9}{12}\)

x₂= 7 × 3 = 21

∴ The length of model ship = 21 m