SOLUTION: Four points A, B, C and D are on a 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 o

Algebra ->  Finance -> SOLUTION: Four points A, B, C and D are on a 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 o      Log On


   



Question 1195238: Four points A, B, C and D are on a 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 of BC.
Answer by Edwin McCravy(20055) About Me  (Show Source):
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In right triangle ACD, use the Pythagorean theorem to 
find the hypotenuse AC.

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

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:

AC%2F1%22%22=%22%22BC%2Fsqrt%283%29

Solve for BC.

Edwin