Estimate your travel costs and to calculate your average speed and the speed of last year’s winner
The map
In Part V, you’re going to use your knowledge of parallax to find the distance of the race course. Below is a grid to draw your Master map on. Use this to draw your parallax triangles and distances. Don’t worry about drawing your map to scale. The grid is there to help you draw straighter lines.
1. What are the two landmarks from your city that you’ll use for parallax?
2. What is the distance between your two landmarks?
3. Call the North Landmark L1 and the South Landmark L2. Sketch the points L1 and L2 on your map.
4. What is the fixed point in the water that you will use for parallax?
5. Call your fixed point P. Sketch the point P onto the map.
6. What is the distance from your fixed point P to the line between L1 and L2 ?
7. Draw the line from your fixed point P to the line L1L2 and add to the length of this line.
8. Label the point of intersection between line L1L2 and the new line as point D.
9. What is the distance from L1 to D? That is, what is the measure of the line segment L1D?
Hint: review the diagram in “The Race Course” section of the Performance Task.
10. What is the distance from L2 to D? That is, what is the measure of the line segment L2D?
