Answer:
The curve should be banked at an angle of 13 degrees.
Step-by-step explanation:
We have,
Radius of a highway curve is 274 m
Speed of car on this curve is 25 m/s
Let
is the banking angle. On a banked curve, the angle of safe diving is given by following expression.

g = 10 m/s²
Plugging all the values in above formula,

So, the curve should be banked at an angle of 13 degrees.