A highway 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.)

Question

Kenyon

Mathematics

18 June, 20:48

A highway 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.)

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Josh Gonzales · Answer 1

The car had traveled 90 - 35 = 55°

Converting to rad:

55° * (2π rad / 360°) = 0.96 rad

length of arc = radius * rad of angle

700 m = R * 0.96

R = 729.17 m