Question

Given: ABC is a right triangle with right angle C. ​ AB=14 centimeters ​ and m∠A=33∘ .

Answer 1

AC is the adjacent leg to angle A, so use cosine to find out AC
cosA=AC/AB
AC=AB*cosA
AC=14*cos33
use your calculator to find AC≈11.7

Answer 2

Answer:

$AC=11.7\ cm$

Step-by-step explanation:

we know that

In the right triangle ABC

$cos(A)=\frac{AC}{AB}$

we have

$A=33\°,AB=14\ cm$

Substitute and solve for AC

$cos(33\°)=\frac{AC}{14}$

$AC=14cos(33\°)=11.7\ cm$