Respuesta :

The length of AB is 16.40ft.

Pythagoras's Theorem

To solve this problem, we have to use Pythagoras's theorem

This is done when we know the values of two sides that make up the triangle.

Data;

  • height = 10ft
  • adjacent =  13ft
  • hypothenuse = x

[tex]x^2=y^2+z^2\\x^2=10^2+13^2\\x^2=269\\x=\sqrt{269}\\x = 16.40ft[/tex]

From the calculations above, the length of AB is 16.40ft.

Learn more on Pythagoras's theorem here;

https://brainly.com/question/654982