Answer:
60 ft
Step-by-step explanation:
An image based on the information provided can be seen in the picture that is attached below. We can calculate the height (b) by using the pythagorean theorem, which is [tex]a^{2} +b^{2} = c^{2}[/tex] and solving for one of the sides.
[tex]25^{2} + b^{2} = 65^{2}[/tex]
625 + [tex]b^{2}[/tex] = 4225 ..... subtract 625 from both sides
[tex]b^{2}[/tex] = 3600 ..... square root both sides
b = 60 ft
Finally, we can see that the ladder reaches a total of 60 ft. up the wall.
