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 is 35 miles.

Step-by-step 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 =√(30^2+18^2)`

`R=34.98`

`R = 35\ miles`

Hence, The resultant vector is 35 miles.

Answer 2

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