6.4 The Sine Ratio
B
Hypotenuse
Opposite
A
C
Adjacent
The sine ratio for acute angle A, is the ratio of the length of the
opposite side (to angle A) over the length of the hypotenuse.
opposite
__________
sin A = hypotenuse
Example 1
Use the sine ratio to calculate the length of t.
R
t
S
s=15 cm
r
40o
T
1
Example 2
Use the sine ratio to calculate the
measure of B.
B
c = 10 cm
a
C
b = 8 cm
A
Example 3
Application
The towrope pulling a parasailor is 70 m long. A boat crew member estimates that the angle between the towrope and the water is about 30o. Find the height of the parasailor above the water.
2
3

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