Question

A helicopter has a length of 15.2 m. It is 100 × larger than its model. What is the length of the model helicopter?

(A) 0.152 m
(B) 1.52 m
(C) 15.2 cm
(D) 152 m

Answer 1

The length of the model helicopter is (B) 1.52 m.

Step-by-step explanation:

The given problem states that the actual helicopter has a length of 15.2 m and is 100 times larger than its model. To find the length of the model helicopter, we can set up a proportion. Let \( x \) be the length of the model helicopter. The proportion can be expressed as:

`\[ (x)/(15.2) = (1)/(100) \]`

To solve for ( x), we can cross-multiply:

100x = 15.2

Now, divide both sides by 100 to isolate (x):

`\[ x = (15.2)/(100) = 0.152 \]`

Therefore, the length of the model helicopter is 0.152 m. However, the answer choices are given in different units, and the correct one is (B) 1.52 m.

Therefore,the correct Option is Option (B) 1.52 m