Elizabeth wants to use a sheet of fiberboard 27 inches long to create a skateboard ramp with a 17° angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest tenth of an inch if necessary.
Elizabeth wants to use a sheet of fiberboard 27 inches long to create a skateboard ramp with a 17° angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest tenth of an inch if necessary.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Problem Statement:**
Elizabeth wants to use a sheet of fiberboard 27 inches long to create a skateboard ramp with a 17° angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest tenth of an inch if necessary.
**Solution Input:**
- Length of fiberboard: 27 inches
- Angle of elevation: 17°
**Answer:** [ ] inches
*Note: Remember to submit your answer rounded to the nearest tenth of an inch.*
**Instructions:**
1. Analyze the given scenario using trigonometric principles.
2. Employ the sine function, as the height can be calculated using the sine of the angle (sin θ = opposite/hypotenuse).
3. Compute the height: opposite = hypotenuse * sin(angle)
4. Enter your completed calculation in the provided answer box.
**Submit Answer**: Input the calculated height and click "Submit Answer" to check your work.
---
**Additional Resources:**
- Understanding Trigonometry: [Link to resource]
- Practice Problems: [Link to resource]
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Transcribed Image Text:Sure! Here's the transcription tailored for an educational website:
---
**Problem Statement:**
Elizabeth wants to use a sheet of fiberboard 27 inches long to create a skateboard ramp with a 17° angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest tenth of an inch if necessary.
**Solution Input:**
- Length of fiberboard: 27 inches
- Angle of elevation: 17°
**Answer:** [ ] inches
*Note: Remember to submit your answer rounded to the nearest tenth of an inch.*
**Instructions:**
1. Analyze the given scenario using trigonometric principles.
2. Employ the sine function, as the height can be calculated using the sine of the angle (sin θ = opposite/hypotenuse).
3. Compute the height: opposite = hypotenuse * sin(angle)
4. Enter your completed calculation in the provided answer box.
**Submit Answer**: Input the calculated height and click "Submit Answer" to check your work.
---
**Additional Resources:**
- Understanding Trigonometry: [Link to resource]
- Practice Problems: [Link to resource]
---
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