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Geometry Lesson 8.4 Angle of Elevation and Depression V3 - Free Printable

Educational worksheet: Geometry Lesson 8.4 Angle of Elevation and Depression V3. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Geometry Lesson 8.4 Angle of Elevation and Depression V3

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- The problem involves finding the horizontal distance 'x' from the observer to the fire, given an angle of depression of 28° and a vertical height of 40 ft.
- The angle of depression is equal to the angle of elevation from the fire to the observer, so we can use a right triangle with the opposite side being 40 ft and the adjacent side being x.
- Using the tangent function: tan(28°) = opposite / adjacent = 40 / x.
- Solving for x: x = 40 / tan(28°).
- Calculate tan(28°) ≈ 0.5317.
- Therefore, x ≈ 40 / 0.5317 ≈ 75.23 ft.
- The horizontal distance x is approximately 75.23 feet.

Parent Tip: Review the logic above to help your child master the concept of angles of elevation and depression worksheet.

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