you will first need to go to www.wolframalpha.com. Once there, you need to search for "distance to Salt Lake City to Houston" and then answer the following questions based on your results. (a) What is the given distance in miles? (b) What is the given direct travel time by an aircraft? (c) What does WolframAlpha list as the rate of the aircraft? (d) Verify the rate listed by calculating the speed (Speed = Distance/Time). Next you will need to calculate the bearing of a plane flying from Salt Lake City, UT to Houston, TX by determining the coordinates of each city and comparing them. In the search bar on the WolframAlpha website, search each city and find the coordinates listed. You will see a map of the U.S. with the city marked. You will then click "Show Coordinates."

You will first need to go towww.wolframalpha.com. Once there, you need to search for "distance to Salt Lake City to Houston" and then answer the following questions based on your results. (a) What is the given distance in miles? (b) What is the given direct travel time by an aircraft? (c) What does WolframAlpha list as the rate of the aircraft? (d) Verify the rate listed by calculating the speed (Speed = Distance/Time). Next you will need to calculate the bearing of a plane flying from Salt Lake City, UT to Houston, TX by determining the coordinates of each city and comparing them. In the search bar on the WolframAlpha website, search each city and find the coordinates listed. You will see a map of the U.S. with the city marked. You will then click "Show Coordinates."

www.wolframalpha.com

(a) What are the coordinates for Salt Lake City, UT? (b) What are the coordinates for Houston, TX? If we ignore the curvature of the Earth, we are able to calculate the bearing. To do this, you will need to follow the these steps.

• Draw a picture (or print a picture) representing the map (similar to the one below) showing the flight from Salt Lake City to Houston. Feel free to only draw the portion of the US map that is used.
• Label the cities and mark their coordinates on the map as well.
• Next you will need to draw a right triangle with the hypotenuse being the line from Salt Lake City to Houston. The left leg will be from Salt Lake City and going straight down. And the base of the triangle will come from that point to Houston. You will then calculate the lengths of each side of your triangle using the coordinates (this will not be in miles). (a) Calculate the hypotenuse (the length from Salt Lake City to Houston) and label it. To calculate the distance, let's use the coordinates we received and make them into an ordered pair. For example, the coordinates for Memphis, TN are 35.1N89.98W. To write that as an ordered pair, I would have (-89.98, 35.1) because West is going left on the x-axis and North is going up the y-axis. Use the distance formula to find the length from Salt Lake City to Houston. (b) Calculate the distance from the right angle to Houston (the base of the triangle) and label it. When we have two sets of ordered pairs, we can take the difference in the x-values to find the base of the triangle. (c) Calculate the distance from Salt Lake City to the right angle (the leg of the triangle) and label it. When we have two sets of ordered pairs, we can take the difference in the y-values to find the leg of the triangle.
• Now we need to calculate the bearing from Salt Lake City to Houston. To calculate the bearing, you will need to find the theta marked below using your measurements of your triangle and your knowledge of triangles.
  

\fSalt akecity Houston