Question

you are standing 144 ft from the base of a tree with a 156 - ft shadow. your shadow is 12 ft long. which strategy can be used to find the height of the tree? pythagorean theorem subtraction proportion dimensional analysis

Explanation:

Step1: Understand the problem

We have two similar right - angled triangles (one formed by the person and their shadow, another formed by the tree and its shadow). For similar triangles, the ratios of corresponding sides are equal.

Step2: Recall the property of similar triangles

If we let the height of the person be \(h_1\), length of person's shadow be \(s_1\), height of the tree be \(h_2\) and length of tree's shadow be \(s_2\). Then \(\frac{h_1}{s_1}=\frac{h_2}{s_2}\) (a proportion).

Answer:

Proportion