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anonymous
 one year ago
A ship leaves port A and travels for 60km in the direction 38 degrees. it then sails 40km in the direction 128 degrees to an island B .
a) how far is B from A ?
b)if the ship wishes to sail back directly to A from B , in what direction must it sail ?
anonymous
 one year ago
A ship leaves port A and travels for 60km in the direction 38 degrees. it then sails 40km in the direction 128 degrees to an island B . a) how far is B from A ? b)if the ship wishes to sail back directly to A from B , in what direction must it sail ?

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welshfella
 one year ago
Best ResponseYou've already chosen the best response.1dw:1432990003731:dw

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1you need to find the length of AB

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1to do this we need to find the value of angle ACB then we use the Cosine Rule to fin AB

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1dw:1432990207184:dw

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1angle ACB = 38+52 = 90 degrees so triangle ACB is right angled so we dont need the cosine rule Just use the pythagoras theorem AB^2 = 60^2 + 40^2

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1just add 40^2 + 60^2 then take the square root

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1use your calculator

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1??? 60^2 = 3600 40^2 = 1600 adding 5200 so AB^ 2 = 5200 AB = sqrt 5200

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1use your calculator to find the square root of 5200

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1yes so distance from A to B is 72 km

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and b) the direction ?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1b) the directions always start from the North line and are clockwise

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1dw:1432991016454:dw

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1Its the angle I've drawn around the point B

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1No its not 270 we need to find the value of angle CBA the angle next to it is 52 degrees then our direction will be 360  52  <CBA

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1as triangle ABC is rightangled we casn use trigonometry tan CBA = 60/40 = 1.5

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1dw:1432991546898:dw

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1does that make it clearer?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1dw:1432991638985:dw

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1that angle is 52 degrees as they are interior alternate angles

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1tan CBA = 1.5 so you can find angle CBA

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1then the direction = 360  52  <CBA

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1what did you get for angle CBA?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1??? noo on your calculator enter tan1 then 1.5  or on some its the other way around

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1forget the 108  i got confused also!!

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1thats the value of angle CBA

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0BUH YEW SAID 36052= ANGLE CBA WHICH IS 308

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1so now you have what you require to find the direction it is 360  52 56.3

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1no i didnt say that

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1so what do you get for the direction?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1432992810256:dw im send in the question .. pleas ehelp me with this last question

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0a coast guard sees a boat B on the bearing of 30 degrees and a yatch Y on a bearing of 72 degrees . the bearing of the yatch from a boat is 136 degrees. a) calculate the values of D , E, F , the three angles of triangle CBY. b) what is the bearing of the coast guard from the yatch ?
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