Consider again the ship that sails from Guam. Like before, it first travels d1 =
ID: 2271593 • Letter: C
Question
Consider again the ship that sails from Guam. Like before, it first travels d1 = 290km at theta 1 = 40.0 degree N of W. But then, the navigation equipment fails. The captain points the ship roughly to the southeast and sails a straight line. When the equipment comes back online, the captain realizes that a small adjustment of d3 = 15.0 km at theta 3 = 30.0 degree W of S is needed to once again reach the goal of being 110 km due East of Guam. Determine the magnitude and direction of that second displacement, d2 and theta 2.Explanation / Answer
sum distances in the x
-290*cos(40 degrees) + x -15*sin(30 degrees) = 110
x=339.65 km
sum distance in the y
290*sin(40 degrees) + y - 15*cos(30 degrees)=0
y=-173.42 km
d = sqrt(339.65^2 + 173.42^2)=381.4 km
angle = arctan(173.42/339.65)=27.05 degrees