The pilot of an aircraft wishes to fly due

west in a 50.0 km/h wind blowing toward
the south. The speed of the aircraft in the absence of a wind is 228 km/h.

a) How many degrees from west should the
aircraft head? Let clockwise be positive.
Answer in units of degrees.

b) What should the plane’s speed be relative to the ground? Answer in units of km/h

HELP ASAP PLEASE IN THE NEXT 20MINUTES PLEASE AND THANK YOU SO MUCH

1 answer

if you still need this i'll take a shot at it..

I drew this a free body diagram of this

You should get a triangle when you do this
where 228 is your hypothenuse is 228

so the formula to to find the missing side is

c^2=a^2+c^2
where c=228
and a=50

so the missing side b = 222.45

So using the triogonometry

cos^-1(222.45/228) = 12.667 degrees

and speed relative to the ground is the missing side

222.45 km/h