Answer:
5.5cm
Step-by-step explanation:
In the diagram, the given side is adjacent to the given angle and we are required to find the Hypotenuse.
Using trigonometry,
[tex]cos\alpha =\frac{adjacent}{hypotenuse}[/tex]
[tex]\alpha =50^{0} ; adjacent=3.5cm and length of the rope, Hypotenuse =3.5cm[/tex]
[tex]cos 50 =\frac{3.5}{x}[/tex]
Cross multiplying
x X cos 50 =3.5
[tex]x=\frac{3.5}{cos 50} =5.45 cm\\Length of the rope =5.5cm (correct to i decimal place)[/tex]
