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The bottom of a ladder must be placed 3 feet from a wall. The ladder is 10 feet long. How far above the ground does the ladder touch the wall?

Respuesta :

Answer: 9. 539 feet

Step-by-step explanation:

Given ; opp = x adj =3 hyp = 10

Using the pythagoras theorem

opp^2 + adj^2 = hyp^2

x^2 + 3^2 = 10^2

x^2 + 9 = 100

subtract 9 from bothside

x^2 + 9-9 = 100 -9

x ^2 = 91

take the square root of bothside

x = √(91)

x= 9.539

Therefore the distance of the ladder above the ground is 9.539

Ver imagen ummuabdallah

The ladder is 9.54 ft above the ground.

The situation forms a right angle triangle;

Right angle triangle

Right angle triangle has one of its angle as 90 degrees. Therefore,

The bottom distance of the ladder from the wall is the adjacent side of the triangle formed. The ladder length is the hypotenuse of the triangle formed.

Therefore, let's calculate how far above the ground the ladder is using Pythagoras theorem.

c² = a² + b²

where

c = hypotenuse

a and b are the other legs

10² - 3³ = b²

100 - 9 = b²

b = √91

b = 9.53939201417

b = 9.54 ft

Therefore, the ladder is 9.54 ft above the ground.

learn more on right triangle here: https://brainly.com/question/1092242

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