Question 1091197
d. 1    looks correct
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Using the Law of Sines:

   sin(A)/a = sin(B)/b = sin(C)/c

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Since A=60 degrees, a=17ft, and c=18ft are given, one can compute C=54.876 degrees directly and then using A+B+C = 180, angle B can be found to be 65.124 degrees.  The values given constrain the solution to one specific triangle.  
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EDIT 8/25/17:   Yes, MathTherapy is correct, there are TWO triangles (thanks MathTherapy for pointing it out).   I made a calculation error in the computation of angle C, it should be 66.5 degrees (and hence the triangle with c=18, C=66.5 degrees is indeed valid).   More importantly, I missed sin(C) = sin(180-C) and that gives you a 2nd triangle (one triangle has A,B,C = 60, 53.5, 66.5 degrees with sides a,b,c = 17, 15.78, 18 feet, respectively.  The 2nd triangle has  A,B,C = 60, 6.5, 113.5 degrees, with sides a, b, c = 17, 2.222, 18 feet,  respectively).   I'd change that to "answer 'b' looks correct."