Applying the sine ratio, the length of side AB in the right triangle is: 11.04 cm.
In any given right triangle, where we know the reference angle, ∅, the length of the opposite side and the length of the hypotenuse, the sine ratio is expressed as: sin ∅ = opposite/hypotenuse.
Given the following:
Plug in the values into the sine ratio formula:
Sin 35.43 = 6.4/AB
AB = 6.4 / sin 35.43
AB = 6.4 / sin 35.43
AB = 11.04 cm
Thus, by applying the sine ratio, the length of side AB in the right triangle is: 11.04 cm.
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