The base of the ladder in the figure is a = 12ft from the building, and the angle formed by the ladder and the ground is 71°. How high up the building does the ladder touch? (Round your answer to one decimal place.) In the given image, we see a visual representation of a ladder leaning against a building. The image is intended to illustrate the angles and distances involved in problems typically encountered in physics or trigonometry.**Diagram Explanation:**1. **Ladder**: The ladder is depicted as a long, straight object resting against the building. It is positioned at an angle relative to the ground and extends upward to a window or higher point on the brick building's wall.2. **Building**: The building is shown as a brick structure with multiple windows arranged in a grid-like pattern.3. **Ground Distance (a)**: At the bottom of the image, a horizontal red arrow marked with 'a' indicates the distance from the base of the building to the point where the ladder touches the ground.4. **Angle (θ)**: Near the base of the ladder, an angle θ (theta) is shown. This angle represents the angle between the ladder and the ground. This is a crucial parameter in problems involving static equilibrium and force calculations.This diagram is particularly useful in educational contexts where students need to understand the relationships between angles, distances, and heights in practical scenarios. It might be used in topics such as:- Trigonometry, where students calculate the height the ladder reaches on the building using the sine or cosine of the angle θ.- Physics, to discuss forces acting on the ladder and how these forces relate to tipping risks or the friction between the ladder and the ground.Understanding this diagram helps students visualize and solve real-world problems by applying mathematical and physical principles.

Let h be the height of the building where the ladder touches the building. Given: To find: We have…

Answered: The base of the ladder in the figure is…

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°.

See similar textbooks

Related questions

Concept explainers

Question

The base of the ladder in the figure is a = 12ft from the building, and the angle formed by the ladder and the ground is 71°. How high up the building does the ladder touch? (Round your answer to one decimal place.)

In the given image, we see a visual representation of a ladder leaning against a building. The image is intended to illustrate the angles and distances involved in problems typically encountered in physics or trigonometry.

**Diagram Explanation:**

1. **Ladder**: The ladder is depicted as a long, straight object resting against the building. It is positioned at an angle relative to the ground and extends upward to a window or higher point on the brick building's wall.

2. **Building**: The building is shown as a brick structure with multiple windows arranged in a grid-like pattern.

3. **Ground Distance (a)**: At the bottom of the image, a horizontal red arrow marked with 'a' indicates the distance from the base of the building to the point where the ladder touches the ground.

4. **Angle (θ)**: Near the base of the ladder, an angle θ (theta) is shown. This angle represents the angle between the ladder and the ground. This is a crucial parameter in problems involving static equilibrium and force calculations.

This diagram is particularly useful in educational contexts where students need to understand the relationships between angles, distances, and heights in practical scenarios. It might be used in topics such as:

- Trigonometry, where students calculate the height the ladder reaches on the building using the sine or cosine of the angle θ.
- Physics, to discuss forces acting on the ladder and how these forces relate to tipping risks or the friction between the ladder and the ground.

Understanding this diagram helps students visualize and solve real-world problems by applying mathematical and physical principles.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Ratios$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Trigonometry (11th Edition)

Trigonometry

ISBN:

9780134217437

Author:

Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:

PEARSON