Question

Please help Boats A, B, C, and D are all the same distance from Boat O.

Answer 1

Answer:

α = 62°

β = 56°

gamma = 90°

Step-by-step explanation:

ΔAOB is isosceles, so m∠A = m∠ABO = 28

28 + 28 + m∠AOB = 180

m∠AOB = 180 - 28 - 28 = 124

β = 180 - 124 = 56

arcAB = 124

ΔBOC is isosceles.  α = m∠BCO = 1/2(arc AB) = 1/2(124) = 62

∠D is inscribed in a semicircle

m∠D = gamma = 90°