Using the sine ratio (SOH), the approximate value of x to the nearest tenth is: 4.6 cm.
The sine ratio in Trigonometry is given as: sin ∅ = opposite/hypotenuse.
Thus, given:
∅ = 50°
Hypotenuse = 6 cm
Opposite = x cm
Plug in the values in to the sine ratio:
sin 50 = x/6
x = sin 50 × 6
x = 4.6 cm
Therefore, using the sine ratio (SOH), the approximate value of x to the nearest tenth is: 4.6 cm.
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