Question

A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot. 4. 1 feet 17. 0 feet 20. 6 feet 21. 4 feet.

Answer 1

The height of the ladder is 20.6 feet. Option C shows the correct height of the ladder.

How do you calculate the 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.

$Hypotenuse^2 = Length ^2 + Base ^2$

$21^2 = L ^2 + 4^2$

$L^2 = 425$

$L = 20.6$

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.

brainly.com/question/3770177.