Question

Assume this diagram is such that b = 4 and 12 years ago

Answer 1

@Hero

Answer 2

Use law of sines to help you

\[\frac{\sin A}{a} = \frac{\sin B}{b}\]

Answer 3

Insert the given values. Let \(\sin B = x\)

\[\frac{\sin 30}{2} = \frac{x}{4}\]

Answer 4

Solve for x, Then find Angle B

Answer 5

Make sure Angle B + Angle A is less than 180

Answer 6

If you drop a perpendicular from C to the horizontal base what would be the length of CB? CB = AC * sin(30) = ?
That will help answer the question.

Answer 7

If Angle A + Angle B is greater than 180, then you only have 1 triangle. If Angle A + Angle is less than 180, then you have two triangles.