Math Problem Statement

answer and draw a figure

The angle of elevation from a point 93.2 ft from the base of a tower to the top of the tower is 38° 28'. Find the height of the tower.

Solution

Problem:

The angle of elevation from a point 93.2 ft from the base of a tower to the top of the tower is 38∘28′38^\circ 28'. Find the height of the tower.

Step-by-Step Solution:

  1. Visualize the Problem: We can model the situation as a right triangle:
    • The horizontal distance from the point to the base of the tower is the adjacent side, which is 93.2 ft.
    • The height of the tower is the opposite side, which we need to find.
    • The angle of elevation is (38^\

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Right Triangle
Angle of Elevation

Formulas

Height = Distance * tan(Angle of Elevation)

Theorems

Tangent function in trigonometry

Suitable Grade Level

Grades 9-12

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