SOLUTION: Four points A, B, C and D are on flat ground such that B is on a bearing of 030° from A. C is south of B and east of A. DC=60m, AD=144m and angle ADC=90° Calculate the length BC.

Question 1195248: Four points A, B, C and D are on flat ground such that B is on a bearing of 030° from A. C is south of B and east of A. DC=60m, AD=144m and angle ADC=90° Calculate the length BC.
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!


In right triangle ACD, use the Pythagorean theorem to 
find the hypotenuse AC.

Since the bearing angle from A is 30^o, angle BAC is 
its complement, or 60^o.

Since ABC is a 30-60-90 right triangle, we can
use the fact that the sides are in the ratio 1:√3:2,
to set up the proportional equation:



Solve for BC.

Edwin

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