Using the problem pictured only as a reference, answer these questions: a. Explain the difference between estimating and calculating b. What are the advantages to estimating c. If your answers are different from estimating and calculating, what does that mean to you?

3. An airplane is flying with a heading and speed such that the airplane's east/west position is changing at a speed of 237.8 mph east the airplane's north/south position is changing at a speed of 192.1 mph south a. Draw the component vectors described, then draw the vector representing the airplane's overall speed and direction. North 300 250 200 150 100 50 West 300-250-200-150-100-50 50 100 150 200 250 300 x East -50 -100 150 -200 -250 300 South b. Write the component form for each of the three vectors you drew in part (a). c. Estimate the airplane's overall speed and direction. d. Use your knowledge of trigonometry to calculate the airplane's exact speed and direction (measured as an angle counterclockwise from the 3 o'clock position)