Gilligan sees a ship coming close to the shore he's standing on. He wants to determine the distance (SD) from the ship to the shore. He walks 130 ft along the
shore from point D to point
C and marks that spot. Then he walks 23 ft further and
marks point B. He turns 90 and walks until his location (point A), point C. and point
S are collinear.
Answer the following questions making sure to show all your work.
(a) Can Gilligan conclude that triangle ABC and triangle SDC are similar? Why or why
not?
(b) Suppose AB = 90 ft. What can Gilligan conclude about the distance of the ship
from the shore? Explain.