Can someone help me solve this problem?

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Answer 1 · 2018-03-01T10:30:58

See below.

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First make a diagram of the situation as shown: We are looking to find the distance #bb(RT)#.

The Cosine Rule states, for a triangle #bb(ABC)#.

#a^2=b^2+c^2-2bc*cos(C)#

Making #C=S=120^@#

We have:

#(bb(RT))^2=(bb(ST))^2+(bb(RS))^2-2(bb(ST))(bb(RS))*cos(bbS)#

#(bb(RT))^2=200^2+150^2-2(200)(150)*cos(120^@)#

So the first one is the correct solution.