An airplane is traveling at a speed of 200 miles/hour with a bearing of 240°. the wind velocity is 60 miles/hour at a bearing of 25°. what are the plane's actual speed and direction angle?

This is a vector problem so we will split it by components and add them.

x direction

200sin(240) + 60sin(25) = -147.847985

y direction

200cos(240) + 60cos(25) = -45.6215327

To find the actual speed we now find the magnitude

(-147.847985)^2 + (-45.6215327)^2 = c^2

c = 154.72669748 mph

To find the direction we can do arctan of the different directions:

arctan(-147.847985/-45.6215327) = 252.85 degrees.

So the plane is going 154.73 mph at 252.85 degrees :)

<154.72, 197.15 degrees> (D)

Step-by-step explanation: I got this right on Edmentum

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers

what’s the question?