Hello!
This makes a triangle
The cat is 20 ft high
The triangle is 20 feet high
The is 6 ft between the ladder and the tree
The base is 6 ft long
You use the Pythagorean theorem to solve this
[tex] a^{2} + b^{2} =c^{2} [/tex]
a and b are the base and height
put in the values you know
[tex] 6^{2} + 20^{2} = c^{2} [/tex]
square the numbers
36 + 400 = [tex] c^{2} [/tex]
Add
436 = [tex] c^{2} [/tex]
Take the square root of 436
20.9 = c
Since this is lower than the length of the ladder the ladder is long enough
The answer is yes
Hope this helps!
