The situation: The base of a 20-foot ladder is 15 feet from the house. How far up the side of the house does the ladder reach? 15 ft 20 ft Your tasks: 1. Which value represents the length of the hypotenuse of the right triangle? 2. Put x, 15, and 20 into the Pythagorean Theorem, using x for the unknown height (in feet). Don't solve it yet. 3. Solve the equation for x, leaving your solution in simplest radical form. In this case it's okay to just give the positive solution. 4. Using a calculator, find the value of x to the nearest tenth of a foot (one decimal place). Be sure to put units in your answer.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Help solve using algebra. Answer every question in order
The situation: The base of a 20-foot ladder is 15 feet from the house. How far up the side of the
house does the ladder reach?
Your tasks:
15 ft
20 ft
1. Which value represents the length of the hypotenuse of the right triangle?
2.
Put x, 15, and 20 into the Pythagorean Theorem, using x for the unknown height (in
feet). Don't solve it yet.
3. Solve the equation for x, leaving your solution in simplest radical form. In this case it's
okay to just give the positive solution.
4. Using a calculator, find the value of x to the nearest tenth of a foot (one decimal place).
Be sure to put units in your answer.
Transcribed Image Text:The situation: The base of a 20-foot ladder is 15 feet from the house. How far up the side of the house does the ladder reach? Your tasks: 15 ft 20 ft 1. Which value represents the length of the hypotenuse of the right triangle? 2. Put x, 15, and 20 into the Pythagorean Theorem, using x for the unknown height (in feet). Don't solve it yet. 3. Solve the equation for x, leaving your solution in simplest radical form. In this case it's okay to just give the positive solution. 4. Using a calculator, find the value of x to the nearest tenth of a foot (one decimal place). Be sure to put units in your answer.
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