Estimate your travel costs and to calculate your average speed and the speed of last year’s winner
Calculate the distances.
1. What is the distance from the hazard buoy P to the southern landmark L2? Use this
formula: , where d is the distance from P to L2, DL2 is the distance from D to L2, and PD is the distance from P to D. Round to the nearest foot.
2. What triangles are similar? How do you know?
3. What is the distance between buoy A and B?
4. What are the lengths of the other two triangle legs?
Remember what you know about the shape of the Race Course.
5. What is the total length of the race course?
Part VIII: Calculate the winner’s speed.
1. What was the winner’s speed during last year’s race?
2. How does the winner’s speed compare with your average speed? How much faster or slower are you?
Part IX: Write your proposal.
Now it’s time to make your proposal to the sponsor. Your sponsor will have their logo on your
boat, so they want to be sure it’s likely to do well. The sponsor also needs to know what the
expenses and risks are, so they know how much their investment in you will cost.
1. Complete the table to summarize the results of your study.
Category: Race:
Risk Analysis: Itemized Travel Cost
Safety hazards
Competitive
Analysis:
My time and speed
Last year’s winning time
and speed
Reward Analysis: My chances of winning
2. Write a summary paragraph explaining why the sponsor should accept your proposal.
