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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