Problema Solution
larry rows a boat 54 northeast at a rate of 8 mi/h. the current pushes the boat 30 west of south at a rate of 6 mi/h. find the approximate resultant speed and direction of the boat. round to the nearest tenth.
Answer provided by our tutors
The vectors are 8 mi/h and 6 mi/h at angles 54 NE and 30 WS.
The components along the east-west direction:
8/x=sin(54)
click here to easterly component
x=9.89
6/x=cos(30)
click here for westerly component
x=6.92
The components along the north-south direction:
8/x=cos(54)
click here for northward component
x=13.61
6/x=sin(30)
click here for southward component
x=12
the result components:
13.61-12=1.61 [northward resultant]
9.89-6.92=2.97 [easterly resultant]
So Larry is rowing northward at 1.61 mi/h with an easterly component of 2.97 mi/h.