Finding Components

Find the x and y components of 22m pointing 40^o north of west.

22 m is what in this triangle?
1. opposite
2. adjacent
3. hypotenuse
Find the x and y components of 22m pointing 40^o north of west.

hypo = 22 m
x is what in relation to 40^o?
1. opposite
2. adjacent
3. hypotenuse
Find the x and y components of 22m pointing 40^o north of west.

22 m = hypo
x = adj

What trig function uses adjacent and hypotenuse?
1. sin
2. cos
3. tan
Find the x and y components of 22m pointing 40^o north of west.

22 m = hypo
x = adj

Use cosine.

What is the equation for cosine?
1. cos = opp/adj
2. cos = opp/hyp
3. cos = adj/hyp
4. cos = adj/opp
Find the x and y components of 22m pointing 40^o north of west.

22 m = hypo
x = adj
cos = adj/hyp

Which of the following is correct?
1. cos 40^o = 22m/x
2. cos 40^o = x/22m
3. x = cos 40^o/22m
4. 22m = x/cos 40^o
Find the x and y components of 22m pointing 40^o north of west.

22 m = hypo
x = adj
cos = adj/hyp
cos 40^o = x/22m

Now, solve for x. Which of the following is correct?
1. x = cos 40^o/22m
2. x = 22m(cos 40^o)
3. x = 22m/cos 40^o
4. x = 22m - cos 40^o
Find the x and y components of 22m pointing 40^o north of west.

22 m = hypo
x = adj
cos = adj/hyp
cos 40^o = x/22m
x = 22m(cos 40^o)

From your calculator, what is cos 40^o? (Only 3 digits after the decimal, please.)
1. .839
2. .643
3. .766
Find the x and y components of 22m pointing 40^o north of west.

22 m = hypo
x = adj
cos = adj/hyp
cos 40^o = x/22m
x = 22m(.766)

So x = ____ (Only 3 digits after the decimal, please.)
1. 28.7 m
2. 16.9 m
3. 21.23 m
4. 22.77 m
Find the x and y components of 22m pointing 40^o north of west.

22 m = hypo
x = adj
cos = adj/hyp
cos 40^o = x/22m
x = 22m(.766) = 16.9 m

y is what?
1. adj
2. opp
3. hyp
Find the x and y components of 22m pointing 40^o north of west.

22 m = hypo
x = adj
cos = adj/hyp
cos 40^o = x/22m
x = 22m(.766) = 16.9 m

y = opp.

Which equation uses opp and hypotenuse?
1. sin
2. cos
3. tan
Find the x and y components of 22m pointing 40^o north of west.

22 m = hypo
x = adj
cos = adj/hyp
cos 40^o = x/22m
x = 22m(.766) = 16.9 m

y = opp.
sin = ?

What is the equation for sin?
1. sin = opp/hyp
2. sin = adj/hyp
3. sin = adj/opp
4. sin = opp/adj
Find the x and y components of 22m pointing 40^o north of west.

22 m = hypo
x = adj
cos = adj/hyp
cos 40^o = x/22m
x = 22m(.766) = 16.9 m

y = opp.
sin = opp/hypo

Which of the following is correct?
1. sin 40^o = 22m/y
2. 22m = sin 40^o/y
3. sin 40^o = y/22m
4. y = sin 40^o/22m
Find the x and y components of 22m pointing 40^o north of west.

22 m = hypo
x = adj
cos = adj/hyp
cos 40^o = x/22m
x = 22m(.766) = 16.9 m

y = opp.
sin = opp/hypo
sin 40^o = y/22m

Which of the following is correct?
1. 22m = y(sin 40^o)
2. y = 22m(sin 40^o)
3. (sin 40^o) = 22m(y)
4. y = 22m/(sin 40^o)
Find the x and y components of 22m pointing 40^o north of west.

22 m = hypo
x = adj
cos = adj/hyp
cos 40^o = x/22m
x = 22m(.766) = 16.9 m

y = opp.
sin = opp/hypo
sin 40^o = y/22m
y = 22m(sin 40^o)

y = ____ (Round to one number after the decimal, please.)
1. 14.1 m
2. 16.9 m
3. 34.2 m
4. 21.4 m
5. 22.6 m