Question

Use the Law of Sines to solve the triangles.

B = 29°, b = 26, c = 28

Answer 1

The Law of Sines appears as follows:

b c a
------- = -------- = --------
sin B sin C sin A

Here there is no mention of side a or of angle A, so focus on
b c
------- = --------
sin B sin C

Plugging in the given values:

26 28
--------- = ------------
sin 29 sin C

Solving for sin C: sin C = 28 sin 29
------------
26

Solve for sin C.

Finally, use the arcsin x function to determine the value of angle C in radians and in degrees.

Answer 2

26/Sin(29) =28/Sin(C) ..... cross multiply..... 28sin(29) =26Sin(C) ..... 13.57=26Sin(C)..... divide 26.... .522=sin(C) .... sin^-(.522) .... Sin(C)=
31.47