7.6 Apply Sine and
Cosine Ratios
sine and cosine trigonometric ratios for acute angles that involve the
length of a leg and the hypotenuse of a right triangle
1
Write each answer below as a fraction and as a decimal
rounded to the ten-thousandth.
Find sin R
Find sin S
sin HINT
x = opp
hyp
2
Write each answer below as a fraction and as a decimal
rounded to the ten-thousandth.
Find sin X
sin
x =
HINT
opp
hyp
Find sin Y
3
Write each answer below as a fraction and as a decimal
rounded to the ten-thousandth.
Find cos W
adj
cosHINT
x =
hyp
Find cos U
4
Write each answer below as a fraction and as a decimal
rounded to the ten-thousandth.
Find cos X
adj
cosHINT
x =
hyp
Find cos Y
5
In order to make a dog run you need
to run cable from one corner of the
building to the other, as shown in the
diagram. Write and solve a
proportion using trigonometric ratios
to approximate the length of the cable
you will need.
6
Write each answer below as a fraction and as a decimal
rounded to the ten-thousandth.
H
Find the
Find sin R
Find sin R
hypotenuse.
Find sin S
sin x = opp
hyp
Find sin S
cos x =
Find cos R
I
Find cos R
Find cos S
Nadj
hyp
T
Find cos S
7
angle of depression the angle made by your line of sight and a horizontal line as
you look down at an object
angle of elevation the angle made by your line of sight and a horizontal line as
you look up at an object
8
Write and solve a proportion using trigonometric
ratios to approximate distance down hill.
9
Write and solve a proportion using
trigonometric ratios to approximate
the height and length of the base of
the ramp.
10
7.6; p477: 1-15odd, 20,21
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