Question

The figure shows a child estimating the height of a tree by looking at the topof the tree with a mirror. Assuming that both the child and the tree form rightangles with the ground, which of the following proportions can be used toestimate the height of the tree?h ft4 ftk5 ft12 ftisDC124

Answer 1

To get the height of the tree, we will apply the principle of similar triangles

For similar triangles, we can take ratios of similar sides of the two triangles

The sketch is given below

We can now compare similar sides as follow

$\frac{h}{4}=\frac{12}{5}$

Thus, the answer is option D