Question

a vector has a y-component with length 16 and an x-component with length 14. At what angle is the vector?

Answer 1

@Vocaloid

Answer 2

if you have the adjacent & opposite sides what trig ratio do we use?

Answer 3

tan

Answer 4

good so tan(theta) = 16/14

to solve for theta, take the arctan of both sides

Answer 5

theta = arctan(16/14)

Answer 6

wait so is this for the x component?

Answer 7

?

Answer 8

we already know the x and y components

we are solving for theta

Answer 9

oh I got confused

Answer 10

0.86

Answer 11

that's radians (which is technically fine but your teacher is probably expecting degrees)

Answer 12

so 48.81 degrees = your answer

Answer 13

and how did we get that

Answer 14

degrees = (180/pi)*radians

or just set your calculator to degree mode

Answer 15

what is the angle theta in the triangle?

Answer 16

same method as before, use tan

Answer 17

9/4.2

Answer 18

good, tan(theta) = 9/4.2

then solve for theta

Answer 19

4/9

Answer 20

tan(theta) = 9/4.2

take the arctan of both sides

Answer 21

2.14

Answer 22

?

Answer 23

arctan(9/4.2) = ?

Answer 24

1.13

Answer 25

good (you can convert that to degrees if you'd like)

Answer 26

so 1.13 degrees

Answer 27

it's 1.13 radians, convert that to degrees if you wish

Answer 28

65

Answer 29

good, that's it