Question

A model of aircraft is built to the
scale 1/25. If the wing span of the
model is 20 cm. Find the actual
wing span of the aircraft?​

Answer 1

_______________________________________________________________

Here , the length of the wingspan increases with increasing size of the aircraft - /

Hence , it ' s in direct propertion - /

Here , Ratio of the size of model to the real aircraft = 1 : 25

• Let ' s take ratio of the model as X ¹
• And , ratio of the real aircraft as X ²

Similarly ,

• Let ' s take wing span of the model as Y ¹ .
• Let ' s take wing span of the aircraft as Y ² .

Now , According to the question - /

X ¹ / X ² = Y ¹ / Y ²

or , 1 / 25 = 20 / Y ²

or , 1 = 20 / Y ² × 25

or , 1 = 500 / Y ²

or , Y ² = 1 × 500

or , Y ² = 500 Cm

or , Y ² = 5 Metre

Hence , wingspan of the aircraft is 500 Cm or 5 Metres .

________________________________________________________________