Question

in a modal of a ship the mast is 8 CM high 'while the mast of the actual ship is 16 cm high. if the length of the ship is 36 m how long is the model ship.​

Answer 1

Given :

• In a modal of a ship the mast is 8 cm high while the mast of the actual ship is 16 cm high.
• The length of the ship is 36 m.

To Find :

• How long is the model ship ?

Solution :

• Let the required length of the model ship be x.
• Ratio of height of mast = 8 : 16
• Ratio of length of ship = 36 : x

According to Question now :

→ 8 : 16 = 36 : x

→ 8/16 = 36/x

Cross multiplying both the sides we get :

→ x × 8 = 36 × 16

→ 8x = 576

→ x = 576 ÷ 8

→ x = 72 m

• Hence,the model ship is 72 m long.

V E R I F I C A T I O N :

→ 8/16 = 36/x

→ 8/16 = 36/72

→ 8 × 72 = 36 × 16

→ 576 = 576

L.H.S = R.H.S

Hence, Verified !

Answer 2

$\huge\fcolorbox{black}{lime}{Answer}$

For a 12 m high mast, the height of mast of model ship =9 cm=0.09m

For a 1 m high mast, the height of mast of model ship =120.09 m

Therefore, the ratio of dimensions of model ship and actual ship =120.09 m

For a 1 m long ship, length of model ship =120.09 m

For a 28 m long ship, length of model ship =120.09 m∗28=0.21m=21 cm