Question

What is the angle of "C" and "B" and use sins to find it

Answer 1

By law of sines, all missing angles have the following measures: B = 16.201º, C = 33.849º.

How to find the missing angles by law of sines

In this problem we must find the values of missing angles of a triangle by law of sines, whose definition is shown below:

`(a)/(\sin A) = (b)/(\sin B) = (c)/(\sin C)`

Where:

• a, b, c - Sides
• A, B, C - Angles, in degrees.

If we know that a = 11, b = 4, c = 7.993 and A = 130º, then the missing angles are, respectively:

`(11)/(\sin 130^\circ) = (4)/(\sin B) = (7.993)/(\sin C)`

sin B = 0.279

B = 16.201º

sin C = 0.557

C = 33.849º

Angles B and C have the measures of 16.201º and 33.849º, respectively.