[填空题]
A triangular farm is shown in the diagr+wnc3j 8 hibb;am bel s44(sq5ah ica 2vunle0l6 f-oow. A river runs along the edge from A to B and the farm house is located at C, a safe distance f4s50ula2nel 6vcihaf qs 4-(o rom the river. The distance from the farm house to point A is 270 m and to point B is 360 m. The angle $\mathrm{A}\hat{\mathrm{C}}\mathrm{B}$ is $130^{\circ}$.
1.Calculate the distance along the river from A to B. m
The cost of fencing is 130130 Australian dollars (AUD) per metre.
2.alculate the total cost of fencing the whole perimeter of the farm, providing your answer to the nearest dollar.
3.Find the sizes of angels $\mathrm{C}\hat{\mathrm{A}}\mathrm{B}$ and $\mathrm{A}\hat{\mathrm{B}}\mathrm{C}$. $^{\circ}$
4.Calculate the area of the farm. Give your answer correct to the nearest whole square metre. $m^2$
5.Calculate the shortest distance from the farm house to the river. m
A tower is located at point B. The angle of elevation to the top of the tower, H, from point C is measured to be $1^{\circ}$.
6.Calculate the vertical height, BH, of the tower, correct to the nearest centimetre. m
7.Calculate the distance between the top of the tower, H, to point A. m
