Math Problem Statement

A tree is growing 4545-ft feet from a home. The home owner is worried the tree could fall onto the house during a storm and is considering having a tree service come out and cut it down. To determine if the tree needs to be cut down the home owner stands '16' feet from the tree and measures the angle between the ground and the top of the tree to be 63∘63∘. Find the height of the tree. (Round to 2 decimal places)

Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Right Triangles

Formulas

tan(θ) = opposite/adjacent

Theorems

Tangent function in a right triangle

Suitable Grade Level

Grades 9-11