Question

to find the height of a tree, a group of students devised the following method. A girl walks toward the tree along it's shadow until the shadow of the top of her head coincide with the shadow of the top of the tree. if the girl is 150 cm tall, her distance to the foot of the tree is 13 meters, and the length of her shadow is 3 m, how tall is the tree?

Answer 1

Answer: 8m

Step-by-step explanation:

Given:

To find the height(h) of the tree, we can use ratio since they are similar triangles.

Triangle 1

Triangle 2

So,

`\begin{gathered} (1.5)/(3)\text{ = }(h)/(16) \\ \text{Simplify and rearrange} \\ h=\text{ }(1.5)/(3)(16) \\ \text{Calculate} \\ h=\text{ 8 m} \end{gathered}`

Therefore, the height of the tree is 8m.