Posted by **Lisa** on Wednesday, March 23, 2011 at 4:22am.

A boat in calm seas travels 19 km east and 32 km south. Find the distance and direction of the trip, relative to the south. What is the distance? What is the direction?

I'm confused about how to solve this problem. Could someone show me the steps?

- Math -
**Henry**, Friday, March 25, 2011 at 9:40pm
X = hor = 19km.

Y = ver = -32km.

d^2 = X^2 + Y^2,

d^2 = (19)^2 + (-32)^2,

d^2 = 361 + 1024 = 1385,

d = 37.2km.

tanA = Y/X = -32/19 = -1.6842,

A = -59.3deg,CW=360 - 59.3 = 300.7deg CCW=300.7 - 270=30.7deg East of South.

## Answer This Question

## Related Questions

- Math - A boat in calm seas travels 19 km east and 32 km south. Find the distance...
- math - A boat in calm seas travels 13km east and 35 km north. Find the distance ...
- Physics - A current of a river flows steadily from west to east at 1.00 m/s. A ...
- Physics - Canadian geese migrate essentially along a north-south direction for ...
- Physics - A man walks the distance of 8km in a direction of 20degrees east the ...
- Physics - A jogger travels a route that has two parts. The first is a ...
- physics - A duck has a mass of 2.10 kg. As the duck paddles, a force of 0.110 N ...
- physics - A duck has a mass of 2.70 kg. As the duck paddles, a force of 0.130 N ...
- Math - Hi, I don't remember how to solve this. Please help me remember. "I live...
- Physics - A duck has a mass of 2.3 kg. As the duck paddles, a force of 0.08 N ...

More Related Questions