a castle guard is standing on the opposite side of a 4 foot moat and wants to reach a window that is 23 feet above the ground. The guard props a ladder against the castle wall to form a right triangle angle as shown. Approximate the length of the ladder needed to reach the window to the nearest tenth of a foot
answer is 23.3 ft.
a^2 + b^2 = c^2
4^2 + 23^2 = c^2
16 + 529 = c^2
545 = c^2
then square root both sides
c = 23.34...
c = 23.3 ft.