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Right Triangle, Distance, Rate, Time, Tangent

TRIG-42RN39

A train is traveling at $\text{ 120 mph}$ towards an intersection 20 miles away. A car is on a perpendicular road to the railroad track. The line of sight between the trains direction and the cars location is ${15}^{o}$.

To the nearest tenth of a mile per hour (mph), how fast must the car be traveling to arrive at the intersection at the same time as the train?

A

$32.1\; mph$

B

$9.3\; mph$

C

$32.2\; mph$

D

$34.8\;mph$