Question

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

What is AC ?

Enter your answer, rounded to the nearest tenth, in the box.

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

`AC=11.7\ cm`

Explanation:

we know that

In the right triangle ABC

`cos(A)=(AC)/(AB)`

we have

`A=33\°,AB=14\ cm`

Substitute and solve for AC

`cos(33\°)=(AC)/(14)`

`AC=14cos(33\°)=11.7\ cm`