Math Problem Statement

find length of the shadow cast bya 10 ft lamp post hwen angle of elevation of the sun in 60 include a pic

Solution

Does this diagram help clarify the problem? Let me know if you'd like further explanation!

Related Questions:

  1. How does the tangent function relate to other trigonometric functions in this context?
  2. What would the shadow length be if the angle of elevation were 4545^\circ?
  3. Can this problem be solved using the sine or cosine functions?
  4. How does the shadow length change as the angle of elevation decreases?
  5. What practical applications does this trigonometric relationship have in real life?

Tip:

When solving problems involving angles of elevation or depression, always sketch a diagram—it simplifies the process significantly!

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Angles of Elevation
Shadow Length

Formulas

tan(θ) = opposite / adjacent

Theorems

Tangent Function

Suitable Grade Level

Grades 9-10