Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.
-A car wheel has a 14 -inch radius. Through what angle (to the nearest tenth of a degree) does the wheel turn when the car rolls forward $3 \mathrm { ft }$ ?
A) $147.3 ^ { \circ }$
B) $157.3 ^ { \circ }$
C) $162.3 ^ { \circ }$
D) $152.3 ^ { \circ }$

Question

Quizplus · Accepted Answer

To find the angle, first convert the 3 feet distance to inches (36 inches). The circumference of the wheel is $2 \pi \times 14$. The angle in radians is $\frac{36}{2 \pi \times 14}$, which converts to degrees by multiplying by $\frac{180}{\pi}$, resulting in approximately $147.3^\circ$.

Assume That the Cities Lie on the Same North-South Line 3ft3 \mathrm { ft }3ft

Assume That the Cities Lie on the Same North-South Line $3 \mathrm { ft }$