Hi there!
[tex]\large\boxed{AB = 32.60 in}[/tex]
Find the length of AB by finding the length of its base:
We can use sine to solve for the length of the Hypotenuse of the triangle located in the base:
sin = O / H
sin 50° = 24 / H
h * sin 50° = 24 ----> h = 24 / (sin 50°)
h ≈ 31.33 in
Use the Pythagorean Theorem to solve for the length of the diagonal since we have solved for the base of the triangle:
c² = a² + b²
c² = 31.33² + 9²
c² = 1062.57
c ≈ 32.60 in
AB = 32.60 in
