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you need to find the length of AB
to do this we need to find the value of angle ACB then we use the Cosine Rule to fin AB
angle 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
can you find AB?
just add 40^2 + 60^2 then take the square root
use your calculator
I GET 10
??? 60^2 = 3600 40^2 = 1600 adding 5200 so AB^ 2 = 5200 AB = sqrt 5200
use your calculator to find the square root of 5200
yes so distance from A to B is 72 km
* sorry 72.11
and b) the direction ?
b) the directions always start from the North line and are clockwise
Its the angle I've drawn around the point B
so its 270 ?
No 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 -
this is confusing
as triangle ABC is right-angled we casn use trigonometry tan CBA = 60/40 = 1.5
does that make it clearer?
that angle is 52 degrees as they are interior alternate angles
tan CBA = 1.5 so you can find angle CBA
then the direction = 360 - 52 -
what did you get for angle CBA?
??? noo on your calculator enter tan-1 then 1.5 - or on some its the other way around
whats 108 for ?
360 - 52 - 56.3
forget the 108 - i got confused also!!
nd whats 56.3 for ?
thats the value of angle CBA
BUH YEW SAID 360-52= ANGLE CBA WHICH IS 308
so now you have what you require to find the direction it is 360 - 52 -56.3
no i didnt say that
so what do you get for the direction?
yep thats it
|dw:1432992810256:dw| im send in the question .. pleas ehelp me with this last question
a 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 ?