Question

8. Monica took a train 30 miles south to Cincinnati. Then she took a different train 18 miles east. Draw a vector diagram showing Monica's trip, including the resultant vector. Be sure to label all vectors. (5 points)

Answer 1

The resultant vector can be solve using the pythagorean theorem
c^2 = a^2 + b^2
where c is the resultant vector
a and b are her individual trip

c^2 = 30^2 + 18^2
c^2 = 1224
c = 35 miles

angle = arctan ( 30 /18)
angle = 59 degrees
so the resultant vector is 35 miles 59 degrees south of east

Answer 2

Answer:

The resultant vector is 35 miles.

Explanation:

Given that,

Monica took a train 30 miles south to Cincinnati. Then she took a different train 18 miles east.

A = 30 miles

B = 18 miles

According to figure,

We calculate the resultant vector

$R^2=A^2+B^2$

$R =\sqrt{30^2+18^2}$

$R=34.98$

$R = 35\ miles$

Hence, The resultant vector is 35 miles.