Asked by Jayme
An airplane is flying in a direction of 65 degrees at 450 mph. A wind is blowing in a direction of 20 degrees at 35 mph. Find the actual speed and direction of the plane.
Answers
Answered by
Steve
You don't say whether these are courses from due North, or from the positive x-axis. I'll do the latter.
the x- and y-components of the vectors are
(450 cos65°, 450 sin65°) = (190.18,407.84)
(35 cos20°, 35 sin20°) = (32.89, 11.97)
Add them up to get
(223.07,410.81) = 475 mph at 61°
the x- and y-components of the vectors are
(450 cos65°, 450 sin65°) = (190.18,407.84)
(35 cos20°, 35 sin20°) = (32.89, 11.97)
Add them up to get
(223.07,410.81) = 475 mph at 61°