Question

An airplane flies with a velocity of 750. kilometers
per hour, 30.0° south of east. What is the
magnitude of the eastward component of the
plane's velocity?
A. 866 km/h
B. 650. km/h
D. 375 km/h
C. 433 km/h

Answer 1

Answer:

650 km/hr

Explanation:

Draw a right triangle from (0.0) (Point A) down 30 degrees and to the right for a length of 750 (Point B).  Then draw a line from B up to the x axis to make a right angle (Point C).  Use the cosine function to find line AC, the vector portion of AB that lies of the x (East) axis.  Cosine(30)= Adjacent/Hypotenuse.

Cos(30) = AC/750

750*(cos(30)) = AC

AC = 649.5 km/hr

Answer 2

B. 650 km/h is the correct answer