Question

question 13 of 40

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?

a. \\(\frac{h}{4} = \frac{12}{5}\\)

b. \\(\frac{h}{5} = \frac{12}{4}\\)

c. \\(\frac{h}{5} = \frac{4}{12}\\)

d. \\(\frac{h}{12} = \frac{5}{4}\\)

Explanation:

Identify similar triangles and corresponding sides

$$
LATEXBLOCK0
$$

Set up the proportion of corresponding sides

$$
LATEXBLOCK1
$$

Answer:

• (A) \(\frac{h}{4} = \frac{12}{5}\) (Correct answer)
• (B) \(\frac{h}{5} = \frac{12}{4}\)
• (C) \(\frac{h}{5} = \frac{4}{12}\)
• (D) \(\frac{h}{12} = \frac{5}{4}\)