Question

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Answer 1

Angle BDC is given as 38° but not drawn in the figure.  Amateurs.

We calculate angle DBC

DBC = 180° - 96° - 38°  = 180° - 134°  

We won't bother subtracting because we're really after

angle ABD = 180° - DBC = 134°

Now we have a Law of Cosines situation,

AD² = AB² + BD² - 2(AB)(BD) cos ABD

AD = √( 5.8² + 27.3² - 2(5.8)(27.3) cos 134°)

AD ≈ 31.61 m

Answer: 31.6 m

Answer 2

Answer:

31.6m

Step-by-step explanation: