Question

a boat heads due south directly across a river at 30ft/min. the river is flowing east at 20ft/min.Find the resultant speed of the boat

Answer 1

Answer:

Resultant  speed is 36 ft/min  at  56.3°South to East

Step-by-step explanation:

A boat heads due south directly across a river at 30ft/min. the river is flowing east at 20ft/min.Find the resultant speed of the boat

the river is flowing east at 20ft/min

boat heads due south directly across a river at 30ft/min

the resultant speed of the boat = √(20)² + (30)²

=√400 + 900

=√1300

= 10√13

= 36 ft/min

Angle = Tan⁻(30/20)   = 56.3°

Resultant  speed is 36 ft/min  at  56.3°South to East