Answer:
Option (C). 4.6 cm
Step-by-step explanation:
In the figure attached,
A right triangle has been given with hypotenuse = 6 cm, leg 1 = x cm, leg 2 = y cm and one angle = 50°
By applying Sine rule in this triangle,
Sin(50)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}=\frac{\text{Leg 1}}{\text{Hypotenuse}}[/tex]
Sin(50)° = [tex]\frac{x}{6}[/tex]
x = 6(Sin50°)
x = 4.59
x ≈ 4.6 cm
Therefore, Option (C) will be the answer.
