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

Explanation:

Step1: Identify similar triangles

The two right - angled triangles formed are similar due to the law of reflection (the angle of incidence equals the angle of reflection). For similar triangles, the ratios of corresponding sides are equal.

Step2: Set up the proportion

The ratio of the height of the tree to its distance from the mirror should be equal to the ratio of the child's height to the child's distance from the mirror. So, $\frac{h}{12}=\frac{4}{5}$.

Answer:

None of the given options are correct. The correct proportion is $\frac{h}{12}=\frac{4}{5}$.