Geometry
posted by Shannon .
A boat left dock A, traveled north for 10 miles, then 45 East of north for 20 miles and docked at B.
A.How far north did the boat travel? How far east did it travel? B. Find the magnitude and direction of the directpath vector AB.
a. North 24.1 East 14.1
b. 22.4 magnitude 45 East of North

Geometry 
Damon
b can NOT be 45 degrees and the magnitude MUST be bigger than 24.1
north = 10 + 20 cos 45 = 24.1 agree
east = 20 sin 45 = 14.1 agree
mag = sqrt (24.1^2+14.1^2) = 27.94
tan deg e of n = 14.1/24.1
so deg e of n = 30.3 degrees East of North
Respond to this Question
Similar Questions

physic
Hi!Question: A river flows due east at 1.70m/s.A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 8.0m/s due north relative to the water. A.What is the velocity of the boat relative … 
math
a bird flies due north 2 miles then east 3 miles then north 4 miles then east 5 miles how far is the nest from the ocean 
Pythagorean Theorem
Jan skips 5 miles north, 4 miles east, 6 miles north, 16 miles east and 4 miles north. How far is Jan from where she started? 
math
joe walked 4 miles north, 9 miles east then 8 miles north and 7 miles east if Al decides to walk straight back to where he started how far must he walk? 
physics
A river flows due east at 1.50 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 9.2 m/s due north relative to the water. (a) What is the velocity of the boat as viewed by an … 
math
a boat starts at point a p travels 15 miles due north to point r then turns due east and travels 8 more miles to the dock at point t find the distance the boat would have traveled if it had gone directly from point p to point t 
Math
A boat travels 74 miles on a course with direction 34 degrees and then changes its course to travel 58 miles at 53 degrees. How far north and how far east has the boat traveled on its 132mile trip? 
Calculus
Suppose that two boats leave a dock at different times. One heads due north, the other due east. Find the rate at which the distance between the boats is changing when the first boat is 56 miles from the dock traveling at a speed of … 
trigonometry
a motor boat moves in the direction of N 38° E for 3 hrs at 20 mph. How far north and how far east does it travel? 
math
one day a sailor was sailing 32 miles from the shore. he then went 22 miles east then 67 miles north. How far did he travel straight?