Asked by GoMeGo
A boat heads S 15 degrees E on a river that flows due west. the boat travels S 11 degrees W with a speed of 25 km per hour. Find the speed of the current and the speed of the still water.
This is due tomorrow.
This is due tomorrow.
Answers
Answered by
Reiny
Draw a vector AB , S15°E, showing the boat in still water.
Draw BC, going West, showing the speed of the river.
Join AC , the resultant vector.
By simple calculation of angles,
angle A = 26°
angle B = 75°
angle C = 79°
I see two simple applications of the sine law
for the speed of the river:
a/sin26° = 25/sin75°
a = 25sin26/sin75 = 11.35
for the boat's speed in still water:
c/ain79 = 25/sin75
c = 25.406
Draw BC, going West, showing the speed of the river.
Join AC , the resultant vector.
By simple calculation of angles,
angle A = 26°
angle B = 75°
angle C = 79°
I see two simple applications of the sine law
for the speed of the river:
a/sin26° = 25/sin75°
a = 25sin26/sin75 = 11.35
for the boat's speed in still water:
c/ain79 = 25/sin75
c = 25.406
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