During an orienteering exercise, two hikers start at point A and head in a direction 30° west of south to point B. They hike 6 miles from point A to point B. From point B, they hike to point C and then from point C back to point A, which is 8 miles directly north of point C. How many miles did they hike from point B to point C? Round decimals to the nearest hundredth. B 6 mi 30° A C 8 mi

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 3E
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During an orienteering exercise, two hikers start at point A and head in a direction
30° west of south to point B. They hike 6 miles from point A to point B. From point
B, they hike to point C and then from point C back to point A, which is 8 miles
directly north of point C. How many miles did they hike from point B to point C?
Round decimals to the nearest hundredth.
B
6 mi
30°
A
C
8 mi
Transcribed Image Text:During an orienteering exercise, two hikers start at point A and head in a direction 30° west of south to point B. They hike 6 miles from point A to point B. From point B, they hike to point C and then from point C back to point A, which is 8 miles directly north of point C. How many miles did they hike from point B to point C? Round decimals to the nearest hundredth. B 6 mi 30° A C 8 mi
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