Question

A plane has a span of 12 metre. it was photographer had as it was flying directly over head with a camera with a depth of 12 CM. in the photo, the span of the planes was 8mm how was the planes when it was snapped? ​

Answer 1

Answer:

The height of the plane is 180 m

Step-by-step explanation:

This question can be solved by similarity. The view of actual plane and the photo of the plane will be similar.

We know that when two geometric figures are similar the corresponding sides are proportional

Original span of plane = 12 m = 1200 cm = 12000 mm

Span of plane in photo = 8 mm

Depth of camera (distance of object from lens) = 12 cm = 120 mm

If the height of the plane is x then

$\frac{x}{120}=\frac{12000}{8}$

$\implies x=\frac{12000}{8}\times 120$

$\implies x=180000\text{ mm}$

$\implies x=180\text{ m}$

Hope this helps.