Find R and theta given the components Rx8018 and Ry 6474 R r

Find R and theta given the components Rx=8.018 and Ry= -6.474

R=

round to nearest thousandth as needed

theta=

answers in degrees use angle measure greater than or equal to 0 and less than 360. round to the nearest tenth as needed.

Solution

Rx=8.018 and Ry= -6.474

R=[Rx²+Ry²]

R=[(8.018)²+(-6.474)²]

R=10.305

theta =tan^-1(-6.474/8.018)

theta =360-tan^-1(6.474/8.018)

theta =360-38.91856

theta =321.1 degrees