Ahighway curve forms a section of a circle. a car goes around the curve. its dashboard compass shows that the car is initially heading due east. after it travels 700. m, it is heading 35.0° south of east. find the radius of curvature of its path. (use the correct number of significant figures.)

The radius of the curvature is 1145.7 meters.

Step-by-step explanation:

We are given that,

Distance measured around the curvature, s = 700 meters

Angle measured, θ = 35° = 0.611 radians

Using , we will find the radius of the circle traced by the car.

So, on substituting the values, we get,

implies

i.e.

i.e. r = 1145.7 meters.

Hence, the radius of the curvature is 1145.7 meters.