The height of the ladder is 20.6 feet. Option C shows the correct height of the ladder.
Given that the length of the ladder is 21 feet. The bottom of the ladder was placed 4 feet from the base of the building.
The attachment shows the arrangement of the ladder. The attachment shows a right-angle triangle in which the value of base and hypotenuse is given. The length is given as below.
[tex]Hypotenuse^2 = Length ^2 + Base ^2[/tex]
[tex]21^2 = L ^2 + 4^2[/tex]
[tex]L^2 = 425[/tex]
[tex]L = 20.6[/tex]
Hence we can conclude that the height of the ladder is 20.6 feet. Option C shows the correct height of the ladder.
To know more about the right-angle triangle, follow the link given below.
https://brainly.com/question/3770177.