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three buoys
Hard Applied Maths Question ?
A power boat has cruising speed of 60 km/hr. It is
taking part in a race around three buoys arranged in an equilateral triangle. The
second buoy, B, is 5 km due East of the starting/finishing buoy, A. The third
buoy, C, is to the North of the line joining A and B. There is a current flowing at
10 km/hr from the south-west. In what direction should the boat be steered on
each leg of the race and how long will it take the boat to complete one circuit.
Could someone please give this a go? I don't have a clue and I need to hand it in tommorow.
Use vectors
A------------------------>B
...............D Sine rule Bearing = (90+6deg 46min)= 096deg46min to find the speed (thus time)for AB , use cosine rule AB^2 = 60^2 + 10^2 - 2*60*10cos128 deg 14 min time = 5/66.65=4min30sec for BC similarly for above Good luck! No items matching your keywords were found. No items matching your keywords were found. Wife of a wealthy copper trader and community leader in Jerusalem, mother of John Mark, Miriam faces a society in which she must hide her strength and knowledge in the sanctuary of her upper room. In the world outside she fights not only her emotions but also the influence of a young Zealot who wants to claim her son for his cause against Rome... If you've ever gazed dreamily out to sea, spotted a lone buoy bobbing and blinking, and let your imagination float along with it, you'll find a friend in Bruce Balan's Buoy. It's not such a lonely life for Buoy--after all, Gull is usually perched atop his red light, and Seal lounges at his "feet... Jesus was just a child when King Herod issued the order. “All male children not yet two years of age are to be put to death!” This is the exciting story of Mary, Joseph and Jesus and their dangerous flight to escape Herod’s decree... List Price: Foam Buoy Garland. 7 Buoys 2.5" to 3.5" Diameter. Approximately 54". Create dynamic tables capes and stunning place settings by pairing patterned napkins with matching plates and coordinating solids. Plates and napkins are offered in multiple sizes, allowing you to mix and match, layer and customize... The ideal buoy or fender for a variety on applications. Mark a hot spot and find it again at a glance! The Lindy Tournament Marker Buoy Rack has a barbell design that features internal ballast weights for resistance to walking in wind or current. This high-impact styrene marker includes weight and 60 ft of rot proof cord... The Polyform A Series provides extreme strength as a buoy or large standoff or rafting fender. Proven reliable in even the most extreme conditions, it is a favorite among commercial fishermen & yacht owners alike. List Price: Buoy marks the southern most point in the US at Key West, Florida, USA Mouse Pad is 8" x 8" x .25" and is made of heavy-duty recycled rubber. Matte finish image will not fade or peel. Machine washable using a mild detergent and air dry. 1.--You can adjust different vision according to your personal demand when watching or reading. 2.--Simple and concise wallet design process,convenient to put in cards,ID,credits.,without needing extra bag or wallet... 1.--You can adjust different vision according to your personal demand when watching or reading. 2.--Simple and concise wallet design process,convenient to put in cards,ID,credits.,without needing extra bag or wallet... Create dynamic tables capes and stunning place settings by pairing patterned napkins with matching plates and coordinating solids. Plates and napkins are offered in multiple sizes, allowing you to mix and match, layer and customize... List Price: Create dynamic tables capes and stunning place settings by pairing patterned napkins with matching plates and coordinating solids. Plates and napkins are offered in multiple sizes, allowing you to mix and match, layer and customize... LEGO Super Heroes Iron Man Extremis Sea Port Battle (76006) List Price: Micro satin peached trunk List Price: Buoy Tags Apple 3 Pack List Price: Buoy marks the southern most point in the US at Key West, Florida, USA Light Switch Cover is made of durable scratch resistant metal that will not fade, chip or peel. Featuring a high gloss finish, along with matching screws makes this cover the perfect finishing touch. List Price: This case is able to give all dimensional protection to your tablet, no matter its back, front or its sides. It is specially made for Apple iPad with Retina Display to protect it from scratches, dirt, oil and other damage... This 14" diameter Fortune Super Lighted plastic serving tray has red, blue, and green LED illumination for food and beverage presentations, or other displays. A button on the bottom of the tray activates and sets the LED display... Three Buoys
Boat stears in direction AD=60km/h, currentDB10km/h.
sin A / 10 = sin 45 / 60
sinA =10sin45/60
A=6deg 46min
AB=66.65km/hr
Boat stears in direction BE=60km/h, current EC=10km/h.
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