#23 i Listen Previous PROBLEM SOLVING The Uniform Federal Accessibility Standards specify that a wheelchair ramp may not have an incline greater than 4.76°. You want to build a ramp with a vertical rise of 8 inches. You want to minimize the horizontal distance taken up by the ramp. Label the diagram (in inches) to show the approximate dimensions of your ramp. Round decimal answers to the nearest tenth. in. 4.76° 14 15 16 in. 17 18 19 20 21 22 Usins Ceballos Munoz 23 in. Save/Exit Overview CaleChat and CaleView by Submit D E E U GC Live Tutor
#23 i Listen Previous PROBLEM SOLVING The Uniform Federal Accessibility Standards specify that a wheelchair ramp may not have an incline greater than 4.76°. You want to build a ramp with a vertical rise of 8 inches. You want to minimize the horizontal distance taken up by the ramp. Label the diagram (in inches) to show the approximate dimensions of your ramp. Round decimal answers to the nearest tenth. in. 4.76° 14 15 16 in. 17 18 19 20 21 22 Usins Ceballos Munoz 23 in. Save/Exit Overview CaleChat and CaleView by Submit D E E U GC Live Tutor
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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![Certainly! Here is the transcription for educational purposes:
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**Problem Solving**
The Uniform Federal Accessibility Standards specify that a wheelchair ramp may not have an incline greater than 4.76°. You want to build a ramp with a vertical rise of 8 inches. You want to minimize the horizontal distance taken up by the ramp. Label the diagram (in inches) to show the approximate dimensions of your ramp. Round decimal answers to the nearest tenth.
Diagram Details:
- A right triangle represents the ramp, with a vertical rise noted as 8 inches.
- The incline angle is given as 4.76°.
- The horizontal leg and hypotenuse are labeled with blank spaces to fill in with calculated values.
**Input Boxes:**
- Two boxes at the base of the triangle for the horizontal distance and hypotenuse length.
To calculate the required measurements, you can use trigonometric ratios. Since the ramp must not exceed an incline of 4.76°, use the tangent function, where tangent of the angle equals the opposite side (vertical rise) over the adjacent side (horizontal run).
**Formula:**
\[ \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} \]
**Given:**
- \(\theta = 4.76^\circ\)
- Opposite (rise) = 8 inches
**Find:**
- Adjacent (horizontal distance)
- Hypotenuse (ramp length)
**Steps:**
1. Calculate the horizontal distance:
\[ \text{adjacent} = \frac{\text{opposite}}{\tan(\theta)} \]
2. Calculate the hypotenuse using the Pythagorean theorem:
\[ \text{hypotenuse} = \sqrt{(\text{opposite})^2 + (\text{adjacent})^2} \]
Round your answers to the nearest tenth.
---
This transcription aims to provide clear guidance and explanation for solving the problem using appropriate mathematical methods.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06afc28b-d551-464f-bebb-b630588760ad%2F5d115c23-ba6e-4dd1-8b5c-353c02e4e787%2Fa0w0rby_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Certainly! Here is the transcription for educational purposes:
---
**Problem Solving**
The Uniform Federal Accessibility Standards specify that a wheelchair ramp may not have an incline greater than 4.76°. You want to build a ramp with a vertical rise of 8 inches. You want to minimize the horizontal distance taken up by the ramp. Label the diagram (in inches) to show the approximate dimensions of your ramp. Round decimal answers to the nearest tenth.
Diagram Details:
- A right triangle represents the ramp, with a vertical rise noted as 8 inches.
- The incline angle is given as 4.76°.
- The horizontal leg and hypotenuse are labeled with blank spaces to fill in with calculated values.
**Input Boxes:**
- Two boxes at the base of the triangle for the horizontal distance and hypotenuse length.
To calculate the required measurements, you can use trigonometric ratios. Since the ramp must not exceed an incline of 4.76°, use the tangent function, where tangent of the angle equals the opposite side (vertical rise) over the adjacent side (horizontal run).
**Formula:**
\[ \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} \]
**Given:**
- \(\theta = 4.76^\circ\)
- Opposite (rise) = 8 inches
**Find:**
- Adjacent (horizontal distance)
- Hypotenuse (ramp length)
**Steps:**
1. Calculate the horizontal distance:
\[ \text{adjacent} = \frac{\text{opposite}}{\tan(\theta)} \]
2. Calculate the hypotenuse using the Pythagorean theorem:
\[ \text{hypotenuse} = \sqrt{(\text{opposite})^2 + (\text{adjacent})^2} \]
Round your answers to the nearest tenth.
---
This transcription aims to provide clear guidance and explanation for solving the problem using appropriate mathematical methods.
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