Amy walks 2 miles 60° north of east from her house as represented in the vector diagram. On a coordinate plane, a vector has angle 60 degrees and length 2 miles.

If Amy’s house is represented as the coordinate (0, 0), what is the component form of the vector representing Amy’s destination rounded to the nearest hundredth?

⟨0.50, 0.87⟩
⟨0.87, 0.50⟩
⟨1.00, 1.73⟩
⟨1.73, 1.00⟩

the one below it is a function

step by step resolutions

1) n+n+1+n+2=51

3n+3=51

3n=48

n=16

the three numbers are 16, 17 and 18.

2) x+15=4x

3x=15

x=5

radha is now 5 years old

3) the two digits are x and y.

y=3x

(10x+y)+(10y+x)=88

y=3x

11x+11y=88

y=3x

x+y=8

x+3x=8

x=2

the original number can be either 28 or 82.

4) n+(n+2)+(n+4)=48

3n+6=48

3n=42

n=14

the numbers are 14, 16 and 18.

5) y=x+3

10y+x+10x+y=143

y=x+3

11x+11y=143

y=x+3

x+y=13

x+x+3=13

2x=10

x=5

the original number can be 57 or 75.

hope this !