Amy, on a jog, runs in a straight line for 3 miles. she then changes direction, heading 50 degrees to the right and runs for 6 miles in this direction. how far is amy from her starting position? (round your final answer to the nearest tenth place.)
answer the question only
I drew a triangle to illustrate the reference triangle.
So, Amy ran from summit A for 3 miles then turned to her right by 50 degrees (creating angle B of 130 degrees), and runs for another 6 miles.
Based on the Cosines Law, we have:
If we isolate b, we have the following formula.
So, as she stops at summit C, she's 8.25 miles away from her starting point.
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