Answer:
The correct answer is C. 14.6 feet
Step-by-step explanation:
Information given to solve the case:
Length of the ladder = 15 feet
Distance from the base of the wall = 3.5 feet
Using the Pythagorean theorem for finding the height, because this is a right triangle:
h² = Length of the ladder ² - Distance from the base of the wall ²
h² = 15 ² - 3.5 ²
h² = 225 - 12.25
h² = 212.75
h = √ 212.75
h = 14.59
h = 14.6 feet (Rounding to one decimal place)
The height of the ladder = 14.6 feet
Given formula is [tex]l= \sqrt{d^2+h^2}[/tex]
where l = Length of the ladder.
d = Distance from the base of wall
h = Vertical height of the ladder
According to the Pythagoras Theorem (Figure attached )
[tex]d^2+ h^2= l^2[/tex]
Given that
Length of the ladder= 15 ft
Distance from the base of wall = 3.5 ft
So the vertical height of the ladder is given by the equation (1)
[tex]h= \sqrt{l^2-d^2}[/tex].....(1)
h= [tex]\sqrt{(15)^2-(3.5)^2}[/tex]
h= [tex]{\sqrt{212.75} } = 14.585\approx[/tex] 14.6 ft
So the height of the ladder = 14.6 feet
For more information please refer to the link below
https://brainly.com/question/20936855
