Question

question 3 of 33 the figure shows a child estimating the height of a tree by looking at the top of the tree with a mirror. assuming that both the child and the tree form right angles with the ground, which of the following proportions can be used to estimate the height of the tree? 4 ft 5 ft 12 ft h ft

Explanation:

Step1: Identify similar triangles

The two right - angled triangles formed (one with the child and the other with the tree) are similar because of the law of reflection (the angle of incidence equals the angle of reflection), and the right angles.

Step2: Set up proportion

For similar triangles, the ratios of corresponding sides are equal. The ratio of the height to the base of the child's triangle should be equal to the ratio of the height to the base of the tree's triangle. So the proportion is $\frac{4}{5}=\frac{h}{12}$.

Answer:

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