Math Problem Statement

Gove me only the answers now explaination

A person casts a shadow that aligns with the shadow of a tree. The person is 5.5 feet tall, and casts a shadow 8.25 feet long. The tree's shadow measures 22.5 feet long. Write an equation to find the tree’s height. How tall is the tree? How far is the person standing from the tree?

Solution

A. Equation:
h22.5=5.58.25\frac{h}{22.5} = \frac{5.5}{8.25}

B. Solutions:

  1. Tree's height (hh): 15 ft15 \, \text{ft}
  2. Distance from the tree: 22.5 ft22.5 \, \text{ft}

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Math Problem Analysis

Mathematical Concepts

Ratios
Proportional Relationships
Geometry

Formulas

h / 22.5 = 5.5 / 8.25

Theorems

Concept of Similar Triangles

Suitable Grade Level

Grades 6-8

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