All angles are measured CW from +Y-axis.
a. AD = AB + BC + CD = 8[90o] + 6[30o] + 7[300o].
X = 8*sin90 + 6*sin30 + 7*sin300 = 4.94 km.
Y = 8*Cos90 + 6*Cos30 + 7*Cos300 = 8.70 km.
AD = sqrt(X^2+Y^2) = 10.0 km.
Atan(X/Y) = 29.6o = Bearing of AD.
b. BD = BC + CD = 6[30o] + 7[300o].
X = 6*sin30 + 7*sin300 = -3.06 km.
Y = 6*Cos30 + 7*Cos300 = 8.70 km.
BD = sqrt(X^2 + Y^2) =
c. P = AD + AB + BC + CD = 10 + 8 + 6 + 7 =
The corner A, B, C and D of a ranch are such that B is 8 km directly East of A and C is 6km from B on a bearing of 30 degree.D is 7km From on a bearing of 300 degree.
(a) the bearing of A and D;
(b) the distance BD in kilometers.
(C) the perimeter of the ranch in kilometers.
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