Question

Question 94

A Water tank casts a shadow 21 m long. A tree of height 9.5 m caste a shadow 8 m long at the same time. The length of the shadows are directly proportional to their heights. Find the height of the tank.

Answer 1

The height of the tree = 9.5 m
The shadow of the tree = 8 m
According to the given condition in the question, the length of the shadows are in direct proportion.
$\therefore \frac{8}{9.5}=\frac{21}{x}\Rightarrow x=\frac{21\times 9.5}{8}=\frac{199.5}{8}=24.9375=24.9m$