Answer :
Answer:
Ladder should be place approximately 13.23 feet from the tree in order to reach the kite.
Step-by-step explanation:
We have drawn the diagram for your reference.
Given:
Max Has a 20 foot ladder.
So we can say according to diagram.
LK = 20 foot
Also Given:
kite that is stuck 15 feet in a tree
So we can say according to diagram.
TK = 15 feet
We need to find distance of ladder and tree.
According to diagram we need to find LT.
Solution:
The whole situation creates a shape of triangle.
Let us assume the triangle to be right angled triangle.
Now by using Pythagoras theorem we get;
[tex]LT^2+TK^2=LK^2\\\\LT^2=LK^2-TK^2[/tex]
Substituting the values we get;
[tex]LT^2=20^2-15^2=400-225 = 175[/tex]
Now taking square root on both side we get;
[tex]\sqrt{LT^2} =\sqrt{175}\\ \\LT \approx 13.23\ ft[/tex]
Hence Ladder should be place approximately 13.23 feet from the tree in order to reach the kite.
