On the assumption that you consider NORTH to have a bearing of 0 and 135 is a clockwise rotation from there, you would have a triangle with the x-axis as one side, the hypotenuse as 140 miles and you want the vertical side of that triangle,
so sin 45 = x/140
x = 140/sin45
= 198
for the second one, after making a sketch I found the angle between the two paths to be 90 degrees, so we want to find the hypotenuse of a right-angled triangle with sides 55 and 133
h^2 = 55^2 + 133^2
h = 143.9
1. A boat sails for 4 hours at 35 mph in a direction 135degrees 51'. how far shouth has it sailed (to the nearest mile)?
Is it 96 miles??
2. A ship travels 55 km on a bearing of 11degrees, and then travels on a bearing of 101degrees for 133 km. find the distance of the end of the trip from the starting point to the nearest kilometer.
Im not sure about this one!
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