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For the given triangle, x = 8.6 cm.
Step-by-step explanation:
Step 1:
In the triangle, the given angle is 35°, the hypotenuse side's length is 15 cm. Assume the opposite side's length is x cm. To determine the opposite side's length, we determine the sin of the angle. To calculate the sin of an angle, we divide the opposite side's length by the hypotenuse's length.
Step 2:
The opposite side's length = x cm.
The hypotenuse side's length = 15 cm.
So x of the given triangle measures 8.6025 cm, rounding this off, we get 8.6 cm.