Answer:
37 ft.
Step-by-step explanation:
Use the Pythagorean theorem to solve.
The hypotenuse = 38 and a leg is 7.
Let d = distance from ground to top of the ladder
[tex]38^{2} = x^{2} + 7^{2}[/tex]
1444 = [tex]x^{2} + 49[/tex]
[tex]x^{2} = 1395\\x = \sqrt{1395} = 37.3496...\\37 ft.[/tex]