Question

A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom of the tree. Approximately how high up the tree does the top of the ladder reach? 2. 4 feet 6. 0 feet 9. 2 feet 10. 8 feet.

Answer 1

The height of the ladder is 9.16 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 10 feet. The bottom of the ladder was placed 4 feet from the bottom of the tree.

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.

$H ^2 = B^2 + L^2$

Here H is the hypotenuse of the triangle which is the ladder, B is the base of the triangle which is the distance of the ladder from the bottom of the tree and L is the length of the triangle which is the height of the ladder on the tree.

$10^2 = 4^2 + h^2$

$h^2 = 100 - 16$

$h = 9.16 \;\rm Feet$

Hence we can conclude that the height of the ladder is 9.16 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.