Answer :
a^2 + b^2 = c^2
4^2 + b^2 = 10^2
16 + b^2 = 100
b^2 = 100 - 16
b^2 = 84
b = SqrRt 84 = 9.2
4^2 + b^2 = 10^2
16 + b^2 = 100
b^2 = 100 - 16
b^2 = 84
b = SqrRt 84 = 9.2
A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom of the tree. the top of The ladder reachupto 9.2 feet high approximately
Given: Ladder=10foot
Bottom of ladder = 4 feet away from the bottom of tree.
Now, we will assume length of the sides of ladder as a,b,c
According to the property of Right angled triangle ,
[tex]\rm a^2 + b^2 = c^2[/tex]
On putting the values of a,b,c in the formula we get,
[tex]\rm 4^2 + b^2 = 10^2\\16 + b^2 = 100\\b^2 = 100 - 16\\b^2 = 84b = \sqrt{84} = 9.2[/tex]
Therefore, the top of the ladder reach upto 9.2 feet high.
Learn more about Properties of Right angle triangle here: https://brainly.com/question/2510444
