A surveyor standing at point A sights two targets, one at B and one at C. He measures that target [5 pts] B is 87 yards away, target C is 459 yards away and the angle between them is 41 degrees. Use solve and the Law of Cosines to find the distance between B and C. Assign to p10. Note: Using solve applied directly to the LOC will yield both a positive and negative solution - please do this. And how to code in mathlab

Consider the linear model for a two-stage nested design with b nested in a as given below. yijk=\small \mu + \small \taui + \small \betaj(i) + \small \varepsilon(ij)k , for i=1,; j= ; k=1, assumption: \small \varepsilon(ij)k ~ iid n (0, \small \sigma2) ; \small \taui ~ iid n(0, \small \sigmat2 ); \tiny \sum_{j=1}^{b} \small \betaj(i) =0; \small \varepsilon(ij)k and \small \taui are independent. using only the given information, derive the least square estimator of \small \betaj(i) using the appropriate constraints (sum to zero constraints) and derive e(msb(a) ).