Question

Solve for the interior measure of angle A: C С 25 28 62 B В

Answer 1

We want to find the angle A. For doing that, we need to use something called The Law of Sines. It relates the angles and measures of its opposite edges. Applying it in this particular case gives us:

`(\sin(A))/(25)=(\sin (62\degree))/(28)`

Note that A is the opposite angle of the edge BC, and 62° is the opposite angle of the edge CA (They must be opposite!).

Just remains to solve the equation. Let's solve it:

`\sin (A)=25\cdot(\sin(62\degree))/(28)=((25)/(28))\cdot\sin (62\degree)`

The next step is just to use a calculator. Let's put the right-hand side within an inverse sin (sin^-1):

`A=\sin ^(-1)(((25)/(28))\cdot\sin (62\degree))\approx52.03\degree`