Question

A tree casts a shadow 35 meters long. At the same time, the shadow cast by a vertical7 meter stick is 5 meters long. Find the height of the tree.

Answer 1

Answer:

The height of the tree is 49 meters

Explanation:

Given that a tree casts a shadow 35 meters long. Let the height of the tree be x.

A 7 meter stick casts a shadow of 5 meters.

Because the ratio of object to their shadows are uniform, we have:

$\begin{gathered} \frac{x}{35}=\frac{7}{5} \\ \\ x=\frac{7}{5}\times35=49 \end{gathered}$

The height of the tree is 49 meters