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Finding Components 2
This exercise assumes you have done the "Sin, Cos, and Tan" exercise first.
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Find the x and y components of 40 m pointing 30
o
north of east.
40 m is what in this triangle?
?
opposite
?
adjacent
?
hypotenuse
Find the x and y components of 40 m pointing 30
o
north of east.
hypo = 40 m
x is what in relation to 30
o
?
?
opposite
?
adjacent
?
hypotenuse
Find the x and y components of 40 m pointing 30
o
north of east.
40 m = hypo
x = adj
Which of the following will you use?
?
sin
?
cos
?
tan
Find the x and y components of 40 m pointing 30
o
north of east.
40 m = hypo
x = adj
cos = adj/hyp
Which of the following is correct?
?
cos 30
o
= 40m/x
?
cos 30
o
= x/40m
?
x = cos 30
o
/40m
?
40m = x/cos 30
o
Find the x and y components of 40 m pointing 30
o
north of east.
40 m = hypo
x = adj
cos = adj/hyp
cos 30
o
= x/40m
Now, solve for x. Which of the following is correct?
?
x = cos 30
o
/40m
?
x = 40m(cos 30
o
)
?
x = 40m/cos 30
o
?
x = 40m - cos 30
o
Find the x and y components of 40 m pointing 30
o
north of east.
40 m = hypo
x = adj
cos = adj/hyp
cos 30
o
= x/40m
x = 40m(cos 30
o
)
x = ____
(Only 1 number after the decimal, please.)
Check
?
20 m
?
34.6 m
?
23.1 m
?
23.0 m
Find the x and y components of 40 m pointing 30
o
north of east.
40 m = hypo
x = adj
cos = adj/hyp
cos 30
o
= x/40m
x = 40m(cos 30
o
) =
34.6 m
y is what?
?
adj
?
opp
?
hyp
Find the x and y components of 40 m pointing 30
o
north of east.
40 m = hypo
x = adj
cos = adj/hyp
cos 30
o
= x/40m
x = 40m(cos 30
o
) =
34.6 m
y = opp.
Which one will you use?
?
sin
?
cos
?
tan
Find the x and y components of 40 m pointing 30
o
north of east.
40 m = hypo
x = adj
cos = adj/hyp
cos 30
o
= x/40m
x = 40m(cos 30
o
) =
34.6 m
y = opp.
sin = opp/hypo. = y/hypo
Which of the following is correct?
?
sin 30
o
= 40m/y
?
40m = sin 30
o
/y
?
sin 30
o
= y/40m
?
y = sin 30
o
/40m
Find the x and y components of 40 m pointing 30
o
north of east.
40 m = hypo
x = adj
cos = adj/hyp
cos 30
o
= x/40m
x = 40m(cos 30
o
) =
34.6 m
y = opp.
sin 30
o
= y/40m
Which of the following is correct?
?
y = 40m - (sin 30
o
)
?
y = 40m(sin 30
o
)
?
(sin 30
o
) + 40m(y)
?
y = 40m/(sin 30
o
)
Find the x and y components of 40 m pointing 30
o
north of east.
40 m = hypo
x = adj
cos = adj/hyp
cos 30
o
= x/40m
x = 40m(cos 30
o
) =
34.6 m
y = opp.
sin 30
o
= y/40m
y = 40m(sin 30
o
)
y = ____
(Round to one number after the decimal, please.)
?
20.0 m
?
34.6 m
?
34.2 m
?
21.4 m
?
22.6 m
OK
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