Island A is 190 miles from Island B. A ship travels 270 miles from Island A, but is off course and 180 miles from Island B. What angle, in degrees must the ship turn in order to head straight for Island B? (Hint: Remember, boats must turn from the front of the ship) (Need work to be shown) Thanks in advance!

Consider A to be at (0,0)

B lies on the circle with center at (0,0) and radius 190

The ship ended up at a point P on a circle with center at (0,0) and radius 270, such that BP = 180

If we let B be due north of A, then the bearing of P from B is z degrees, where

cosz = 80/180

Now you can find the angle θ that the ship is off via

tanθ = 180sinz/270 = 2/3 sinz

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk