"Minimizing the Total Time"
Suk wants to go from point A to point B, as shown in the figure. Point B is 1 mile upstream and on the north side of the 0.4-mi-wide river. The speed of the current is 0.5 mph. Her boat will travel 4 mph in still water. When she gets to the north side she will travel by bicycle at 6 mph. Let (alpha) represent the bearing of her course and (beta) represent the drift angle, as shown in the figure.
A) When (alpha)=12degrees, find (beta) and the actual speed of the boat.
B) Find the total time for the trip when (alpha)=12degrees

Question

"Minimizing the Total Time"
Suk wants to go from point A to point B, as shown in the figure. Point B is 1 mile upstream and on the north side of the 0.4-mi-wide river. The speed of the current is 0.5 mph. Her boat will travel 4 mph in still water. When she gets to the north side she will travel by bicycle at 6 mph. Let (alpha) represent the bearing of her course and (beta) represent the drift angle, as shown in the figure.
A) When (alpha)=12degrees, find (beta) and the actual speed of the boat.
B) Find the total time for the trip when (alpha)=12degrees

shootforthestars · Answer

C) Write the total time for the trip as a function of (alpha) and graph the function
D) Find the approximate angle (alpha) that minimizes the total time for the trip and find the corresponding (beta)

amistre64 · Answer

do you have a best attempt at a picture?

shootforthestars · Answer

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