SOLUTION: A 96 inches long ladder is leaning against a tall tree.The foot of the ladder is 26 inches from the base of the tree.How far up the trunk is the top of the ladder?

Algebra ->  Pythagorean-theorem -> SOLUTION: A 96 inches long ladder is leaning against a tall tree.The foot of the ladder is 26 inches from the base of the tree.How far up the trunk is the top of the ladder?      Log On


   



Question 1197481: A 96 inches long ladder is leaning against a tall tree.The foot of the ladder is 26 inches from the base of the tree.How far up the trunk is the top of the ladder?
Found 2 solutions by ewatrrr, ikleyn:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

c = 96ft , b = 26ft , a the height
Pythagorean Theorem (tree and ground form a right angle)
a^2 + 26^2 = 96^2
solve for a

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

If a person leans a ladder against a tree,  he  (or she)  can easily fall and injure himself  (or herself),
as well as other people around, due to the fact that a ladder leaned against a tree has a rotational degree of freedom,
and even more than one such a rotational degree of freedom.

A reasonable person  (like  homo sapience )  should not do this.


The whole idea to lean a ladder against a tree is BAD and dangerous.
The ladders are not intended for this purpose.