AC=8 cm and BC= 11 cm, what is the tangent of angle A to the nearest thousandth?

the correct answer is:

definition of sine in right triangle

explanation:

the ratio for sine is opposite/hypotenuse. this means that for the sine of angle b, we want the side opposite b, which is ae, over the hypotenuse, which is c:

sin b = ae/c

multiply both sides by c:

c sin b = (ae/c)*c

c sin b = ae

this is by definition of sine.

this also applies to step 8.