SOLUTION: A motor boat departs from the north bank of a river and bears south to the opposite bank. The speed of the boat in calm waters is 20 mi/h, and the river runs east at 3 mi/h. What i

Algebra.Com
Question 1168003: A motor boat departs from the north bank of a river and bears south to the opposite bank. The speed of the boat in calm waters is 20 mi/h, and the river runs east at 3 mi/h. What is the actual speed of the boat and what is its final bearing? (20.2 mph, S 8.5° W)
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.

To find the actual speed, apply the Pythagorean theorem.


To find the angle, use the tangent function.


--------------

Comment from student: asb=sqrt(20^2+3^2)=sqrt(400+9)=sqrt(409) ≈20.22 mph aSW=atan(3/20)=8.53°



My response : Perfect (!)

I am very impressed and glad to see how perfectly did you manage to solve this problem (!).

My congrats (!)



RELATED QUESTIONS

a stretch of a river 300m wide has a straight parallel banks and the speed of the current (answered by Finavon)
Boat A departs from Location A at 9:00 AM, traveling north at a speed of 50 MPH. Boat B... (answered by ikleyn)
Ann is driving a motorboat across a river that 2 km wide. The boat has a speed of 20 km/h (answered by Theo)
A man stands at a point A on the bank of a straight river, 2 mi wide. To reach point B, 7 (answered by ankor@dixie-net.com)
The speed of the current in a river is 5 miles per hour. A boat leaves a dock on the... (answered by lynnlo,Finavon)
A motor boat traveling with a current went 35 miles in 3.5 hours. Traveling agaist the... (answered by tommyt3rd)
A motor boat took 5 hours to travel 24km down the river to another town and to return. At (answered by ikleyn)
A motor boat traveling with the current went 12 mi in 1 h. Against the current, it took 2 (answered by ankor@dixie-net.com)