Question

refer to the picture below to solve the problem in question 26. 26. a 6 - foot tall man is standing near a tree on level ground as shown in the picture above. if the mans shadow is 4 feet long, how many feet tall is the tree? a. 27 b. 12 c. 108 d. 72

Explanation:

Step1: Set up proportion

Since the triangles formed by the man and his shadow, and the tree and its shadow are similar, the ratios of height to shadow - length are equal. Let the height of the tree be $h$. The proportion is $\frac{h}{18}=\frac{6}{4}$.

Step2: Solve for $h$

Cross - multiply the proportion: $4h = 6\times18$. Then $4h=108$. Divide both sides by 4: $h=\frac{108}{4}=27$.

Answer:

A. 27