Explanation Given Information: Melanie’s wireless router has a range of 175 ft and is placed at the window and Brittany’s computer is placed at her window and the figure is, Consider the problem Melanie’s wireless router has a range of 175 ft and is placed at the window and Brittany’s computer is placed at her window. Step 1: Familiarize. Observe the problem carefully. Consider a right triangle on the ground with length of the legs 80 ft and 100 ft . The length of the hypotenuse is the distance across the ground between the buildings in ft. Consider another right triangle from Melanie’s window to Brittany’s window with length of the perpendicular the difference of the heights of the respective windows 30 − 5 = 25 ft and the base is the distance across the ground between the buildings. The length of the hypotenuse is the diagonal distance from Melanie’s window to Brittany’s window in ft. Let w be the diagonal distance from Melanie’s window to Brittany’s window in feet. Let d be the distance across the ground between the buildings in feet. Step 2: Translate the problem into mathematical language or write an equation. According to the Pythagorean Theorem, for a right triangle, if a and b are the lengths of the legs and c is the length of the hypotenuse, then, a 2 + b 2 = c 2 Substitute 80 for a , 100 for b and d for c in the equation a 2 + b 2 = c 2 . 80 2 + 100 2 = d 2 . Substitute 25 for a , d for b and w for c in the equation a 2 + b 2 = c 2 . 25 2 + d 2 = w 2 . Step 3: Carry out. Solve the equation 80 2 + 100 2 = d 2 for d . 80 2 + 100 2 = d 2 6400 + 10000 = d 2 16400 = d 2 Take square root both the sides of the equation 16400 = d 2 . d = 16400 d ≈ 128 Thus, the distance across the ground between the buildingsis 128 ft

Elementary Algebra: Concepts and Applications (10th Edition)

10th Edition

ISBN: 9780134441375

Author: Marvin L. Bittinger, David J. Ellenbogen, Barbara L. Johnson

Publisher: PEARSON

See similar textbooks

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.

Videos

Question

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Chapter 8.6, Problem 57ES

To determine

Whether Brittany would be able to use Melanie’s service is Melanie’s wireless router has a range of 175 ft and is placed at the window and Brittany’s computer is placed at her window as in the figure.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.6, Problem 56ES

Chapter 8.6, Problem 58ES

Students have asked these similar questions

what model best fits this data

Round as specified A) 257 down to the nearest 10’s place B) 650 to the nearest even hundreds, place C) 593 to the nearest 10’s place D) 4157 to the nearest hundreds, place E) 7126 to the nearest thousand place

Estimate the following products in two different ways and explain each method A) 52x39 B) 17x74 C) 88x11 D) 26x42

Chapter 8 Solutions

Elementary Algebra: Concepts and Applications (10th Edition)

Ch. 8.1 - Find the square roots of 81.Ch. 8.1 - Prob. 2YT Ch. 8.1 - Prob. 3YT Ch. 8.1 - Prob. 4YT Ch. 8.1 - Prob. 5YT Ch. 8.1 - Prob. 6YT Ch. 8.1 - Prob. 7YT Ch. 8.1 - Prob. 8YT Ch. 8.1 - Prob. 1CYU Ch. 8.1 - Prob. 2CYU

Knowledge Booster

$Algebra$

Learn more about

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

Whether Brittany would be able to use Melanie’s service is Melanie’s wireless router has a range of 175 ft and is placed at the window and Brittany’s computer is placed at her window as in the figure.

Solution Summary: The author explains how Melanie's wireless router has a range of 175ft and is placed at the window.

Concept explainers

Videos

Whether Brittany would be able to use Melanie’s service is Melanie’s wireless router has a range of 175 ft and is placed at the window and Brittany’s computer is placed at her window as in the figure.

Want to see the full answer?

Chapter 8 Solutions