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Free Version
Moderate

Inline Skater, Law of Cosines, Acute Triangle, Acute Angle

TRIG-BORBJV

Heather is in an inline skating road race. In the first leg, she skates 12 km from Tampa to Ruskin. Then, she turns and skates 17 km to Sun City, making a ${ 64 }^{ o }$ angle from the first leg. The final turn at Sun City leads back to Tampa.

What is the total length of the race, to the nearest kilometer?

A

$16 \ \text{km }$

B

$45 \ \text{km }$

C

$37 \ \text{km }$

D

$54 \ \text{km }$