Mathematics High School

A ​17-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground feet from the base of the building. How high up the wall does the ladder​ reach?

Answers

Answer 1

Answer:

15 feet..

taking base as 8m

Given: ladder = 17 m and base = 8 m

The ladder forms a right triangle with the base of 8 m, the wall will be 15 m and the ladder (hypotenuse) is 17 m.

Let’s say you did not know that this was a standard 8–15–17 right triangle.

This is how you can figure it out:

hypotenuse(h)22 = side2112 + side2222

Let side11 = base and side22 = wall

1722 = 822 + wall22

wall = 172−82−−−−−−−√172−82

wall = 289−64−−−−−−−√289−64

wall = 225−−−√225

wall = 15 feet

Answer 2

Height of wall is 15 feet

Given:

Length of ladder = 17 feet

Base distance from ladder = 8 feet (Missing information)

Find:

Height of wall

Computation:

Length of ladder = hypotenuse

Base distance from ladder = Base

Height of wall = Perpendicular

Using Pythagorean theorem

[tex]Perpendicular = \sqrt{Hypotenuse^2 - Base^2}[/tex]

By putting values

[tex]Perpendicular = \sqrt{17^2 - 8^2}[/tex]

[tex]Perpendicular = \sqrt{289 - 64} \\\\Perpendicular = \sqrt{225} \\\\Perpendicular = 15[/tex]

Height of wall = 15 feet

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A 17-foot Ladder Is Placed Against A Vertical Wall Of A Building, With The Bottom Of The Ladder Standing

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The complete question is

During a high school baseball tournament, Lando hits a pitch and the baseball stays in the air for 4.42 seconds. The function h(t) = -5t2 + 22t + 0.5 describes the height over time, where h is its height, in meters, and t is the time, in seconds, from the instant the ball is hit. a. What is the maximum height the ball reaches? b. What will be the time elapsed when the ball reaches its maximum height of flight?

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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