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.

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60