Answer:
AB = 8.77
Step-by-step explanation:
AB is the hypotenuse of a right triangle. A 20 degree angle is shown. The side BC (with length 3) is opposite this 20 degree angle.
By the definition of the sine function, sin 20 degrees = opp side / hypotenuse. Therefore,
opp side 3
hypotenuse = ------------------------- = -------------------
sin 20 degrees 0.3420
Evaluating this, we get hypotenuse = AB = 8.77
