Find m<BAC . .. . . . . . . . . . .

Question

Given: AB = 21, OB = 10 Find: m∠BAC

Answer 1

Form right triangle via drawing AO which bisects <BAC.

Sin(BAO) = OB/AB = 10/21

<BAO = arcsin(10/21)

<BAO = 28.43

so <BAC = 2 * 28.43 = 56.86