Ask a New Question

Question

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?
14 years ago

Answers

Henry
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.
14 years ago

Related Questions

A boat travels at 3.8 m/s and heads straight across a river 240 m wide. The river flows at 1.6 m/s.... A boat travels at 3.8 m/s and heads straight across a river 240m wide at an angle of 145'. The river... A ship in calm seas steamed 13 km in one direction, turned and steamed 13 km in another direction,... A boat in calm seas travels 13km east and 35 km north. Find the distance and direction of the trip,... A boat which travels 100 km (N), then 40 km (N), and finally 80 km (S). The entire trip takes 6.5 ho... a boat travels on a course of bearing n 37 10' W for 79.5 miles. How many miles north and how many m... A boat travels at 8m/sec and heads straight across a river 240m wide. The river flows at 4m/sec. Wha... A boat travels at 15 m/s in a direction 45° east of north. The boat then turns and travels at 18 m/s... 4 .A boat in calm seas travels in a straight line and ends the trip 22 km west and 53 km north of it...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use