Question

PUNTOS POSIBLE A parking meter that is 1.6 meters (m) tall casts a shadow 3.6 m long. At the same time, a tree casts a shadow 9 m long. 1.6 m 3.6 m 9 m What is the height of the tree?

Answer 1

Answer:

4 meters

Explanation:

The triangle formed by the parking meter and its shadow is similar to the triangle formed by the tree and its shadow. So, the ratio of the height of the object and its shadow is constant and we can write the following equation:

$\frac{Tree}{\text{Shadow Tre}e}=\frac{\text{ Parking meter}}{Shadow\text{ Parking meter}}$

So, replacing the values, we get:

$\frac{Tree}{9\text{ m}}=\frac{1.6\text{ m}}{3.6\text{ m}}$

Solving for the height of the tree, we get:

$\begin{gathered} \frac{Tree}{9\text{ m}}\times9m=\frac{1.6\text{ m}}{3.6\text{ m}}\times9m \\ \text{Tree = 4 m} \end{gathered}$

Therefore, the height of the tree is 4 meters.