Question

Determine b , given that A = 63°, C = 49°, and c = 3. Round answers to the nearest whole number. Do not use a decimal point or extra spaces in the answer or it will be marked incorrect.

Answer 1

Angle B = 68 degrees
Using the Law of Sines
b / sin(B) = c / sin (C)
b = sin (68) * c / sin (49)
b = 0.92718 * 3 / 0.75471
b = 2.78154 / 0.75471
b = 3.6855745916

Answer 2

b=4

Explanation:

Let us draw a triangle ABC, with A = 63°, C = 49°, and c = 3.

In the triangle ABC,

A +B +C = 180°

63°+B+49°= 180°

B = 180°-63°-49°

B = 68°

Use Sine law to find b

`(c)/(sin C)=(b)/(\sin B)\\\\(3)/(\sin49)=(b)/(\sin68)\\\\b=(3\sin68)/(sin49)\\\\b=3.7`

In the nearest whole number b = 4