Answer:
77.786 m
Explanation:
The shortest length of the rope used cabnbe obtained using trigonometric relation :
Shortest length of the rope = hypotenus
Using the relation :
Cos θ = Adjacent / hypotenus
Adjacent = 50 ;θ = 50°
Cos 50 = 50 / hypotenus
Hypotenus = 50 / cos 50
Hypotenus = 77.786 m