Space Probes Standards Assessed: 1.3, 4.1, 4.3, 4.5, 5.2, 5.4 Name ________________________ Trigonometry Directions: Scientists are predicting a comet will collide with an asteroid in 30 days. Three different probes can be sent to collect data, but since the event was not predicted earlier the probes may not arrive in time. Below is a table showing the probable locations of the probes: Probe Name Keppler DaVinci Milliken Distance to Asteroid (Millions of Miles) Day 4 Day 7 270 235 285 260 280 245 Day 11 185 200 200 Graph the location of each of the probes on the same axes. (colored pencils may help.) Based on the information, which probes do you think would arrive on time? Explain your reasoning. Is there a time when all three probes would be the same distance from the asteroid? If so, when? Use the graph to create an equation to describe the location of the probes. You will need a different equation for each of the probes.