Question

question 32 of 40 the figure shows a person estimating the height of a tree by looking at the top of the tree with a mirror. assuming that both the person and the tree form right angles with the ground, which of the following proportions can be used to estimate the height of the tree? 6 ft 5 ft 12 ft h ft a. $\frac{h}{12}=\frac{6}{5}$ b. $\frac{h}{5}=\frac{12}{6}$ c. $\frac{h}{6}=\frac{5}{12}$

Explanation:

Step1: Identify similar - triangles

The two right - angled triangles formed by the person and the tree with respect to the mirror are similar.

Step2: Set up proportion

For similar triangles, the ratios of corresponding sides are equal. The ratio of the height of the tree ($h$) to its distance from the mirror ($12$ ft) is equal to the ratio of the person's height ($6$ ft) to their distance from the mirror ($5$ ft). So, $\frac{h}{12}=\frac{6}{5}$.

Answer:

A. $\frac{h}{12}=\frac{6}{5}$