ABC is a triangular field on horizontal ground. A vertical pole BQ stands at B. $AB = 525$ m, $BC = 872$ m and angle $ABC = 104^{\circ}$.
(a)[4]
Calculate the length $AC$ using the cosine rule.
(b)[4]
Show all your working, and calculate the angle of elevation of Q from A.
(c(i))[2]
Calculate the field's area.
(c(ii))[2]
Calculate the area of the field as it appears on the map in $\text{cm}^2$.
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