Answer: x = 75.7 cm
Step-by-step explanation:
In the given picture, we are given a right triangle.
The length of hypotenuse = 85 cm
Angle opposite to x= [tex]63^{\circ}[/tex]
Using trigonometry,
[tex]\sin\theta=\dfrac{\text{Side opposite to }\theta}{\text{Hypotenuse}}\\\\\Rightarrow\ \sin63^{\circ}=\dfrac{x}{85}\\\\\Rightarrow\ x=85\times\sin63^{\circ}\\\\\Rightarrow\ x=85\times0.89100652418\\\\\Rightarrow\ x=75.7355545553\approx75.7\ cm[/tex]
Hence, the value of x = 75.7 cm
