A kids Ferris wheel has 8 equally spaced cars . What is the angle of elevation of the child looking at the top car? The image depicts a Ferris wheel with a right triangle superimposed on it. The Ferris wheel consists of a circular structure with eight cabins equally spaced on its perimeter. The cabins are colored in alternating blue and red color schemes, with three yellow ones. The center of the Ferris wheel is highlighted with a star.### Detailed Explanation of the Diagram:1. **Ferris Wheel Components:** - **Cabins:** There are eight passenger cabins attached to the wheel. The arrangement is uniform and symmetrical. - **Supporting Structure:** The Ferris wheel is mounted on a base with two yellow structural supports connecting the wheel to the ground.2. **Triangle Description:** - **Vertices:** The triangle has three corners. - The first vertex is on the left side of the image, grounded on the surface. - The second vertex is at the top of the wheel. - The third vertex is where the horizontal and vertical lines from the first vertex meet. - **Angle:** There is an angle $x^\circ$ at the first vertex, marked on the ground, indicating the acute angle between the horizontal line and the hypotenuse. - **Sides:** - The vertical line runs through the Ferris wheel touching the top of the wheel. - The horizontal line extends from the first vertex parallel to the base to meet the vertical line.### Description for Educational Context:In the context of an educational website, the diagram can be used to teach students about geometric concepts such as right-angled triangles, angles, and their applications. The Ferris wheel serves as a real-world example, illustrating how geometric shapes and angles are present in structures we see every day. The angle $x^\circ$ at the base can be used to explain concepts like trigonometry, angle measurement, and perhaps even the applications of these principles in engineering and design.

Concept: Parallel lines: Parallel lines are defined as two straight lines that do not intersect at…

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Math

Calculus

A kids Ferris wheel has 8 equally spaced cars . What is the angle of elevation of the child looking at the top car?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

A kids Ferris wheel has 8 equally spaced cars . What is the angle of elevation of the child looking at the top car?

The image depicts a Ferris wheel with a right triangle superimposed on it. The Ferris wheel consists of a circular structure with eight cabins equally spaced on its perimeter. The cabins are colored in alternating blue and red color schemes, with three yellow ones. The center of the Ferris wheel is highlighted with a star.

### Detailed Explanation of the Diagram:
1. **Ferris Wheel Components:**
- **Cabins:** There are eight passenger cabins attached to the wheel. The arrangement is uniform and symmetrical.
- **Supporting Structure:** The Ferris wheel is mounted on a base with two yellow structural supports connecting the wheel to the ground.

2. **Triangle Description:**
- **Vertices:** The triangle has three corners.
- The first vertex is on the left side of the image, grounded on the surface.
- The second vertex is at the top of the wheel.
- The third vertex is where the horizontal and vertical lines from the first vertex meet.
- **Angle:** There is an angle $x^\circ$ at the first vertex, marked on the ground, indicating the acute angle between the horizontal line and the hypotenuse.
- **Sides:**
- The vertical line runs through the Ferris wheel touching the top of the wheel.
- The horizontal line extends from the first vertex parallel to the base to meet the vertical line.

### Description for Educational Context:
In the context of an educational website, the diagram can be used to teach students about geometric concepts such as right-angled triangles, angles, and their applications. The Ferris wheel serves as a real-world example, illustrating how geometric shapes and angles are present in structures we see every day. The angle $x^\circ$ at the base can be used to explain concepts like trigonometry, angle measurement, and perhaps even the applications of these principles in engineering and design.

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