Question

Describe the vector as an ordered pair. Round the coordinates to the nearest tenth. The diagram is not drawn to scale.

Answer 1

Remember SOH CAH TOA?

Answer 2

The y coordinate is the opposite side and the x coordinate is the adjacent side.

Answer 3

so i would use tangent?

Answer 4

No....

Answer 5

You are given hypotenuse.

Answer 6

For the x coordinate, you know the adjacent side is x, along with the hypotenuse...

Answer 7

This is CAH,

Answer 8

For the y coordinate, it's opposite side is y, thus SOH

Answer 9

im confuced so i would use sine and cosine?

Answer 10

Basically: \[
\sin(69^\circ) = \frac{y}{54} \\
\cos(69^\circ) = \frac{x}{54} \\
\]

Answer 11

You have two variables, so you need two equations. It wasn't going to happen in a single equation.

Answer 12

Using \[
\tan(69^\circ) = \frac{y}{x}
\]would not help you out that much.

Answer 13

ok

Answer 14

Even though it is true.

Answer 15

Any more questions?

Answer 16

not yet

Answer 17

@wio i found the sine and cosine so what now?

Answer 18

Did you solve for x and y?

Answer 19

yes i believe

Answer 20

Then you have your answer.

Answer 21

for the two equations you gave i got 50.4 and 19.4

Answer 22

are those my coordinates?

Answer 23

Yeah.

Answer 24

y is obviously the longer one.

Answer 25

so its (19.4 , 50.4)