A sailboat is 12 km north of a lighthouse. A motor cruiser is 12 km east of the same lighthouse.
- Use trigonometry to find an exact expression for the distance tween the two boats.
- Check your answer using another method.
2 answers
nvm I got it
in math text coordinates:
A is at ( 0 , 12 )
B is at ( 12 , 0 )
draw the line between. It is the hypotenuse of a right triangle.
d = sqrt ( 12^2 + 12^2) = 12 sqrt 2
to sail from A to B I must go on a vector
V = +12 i - 12 j = 12 (i - j)
the magnitude of 1i -1j is sqrt 2
A is at ( 0 , 12 )
B is at ( 12 , 0 )
draw the line between. It is the hypotenuse of a right triangle.
d = sqrt ( 12^2 + 12^2) = 12 sqrt 2
to sail from A to B I must go on a vector
V = +12 i - 12 j = 12 (i - j)
the magnitude of 1i -1j is sqrt 2
2 answers