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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.

Respuesta :

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

calculista

Answer:

[tex]AC=11.7\ cm[/tex]

Step-by-step explanation:

we know that

In the right triangle ABC

[tex]cos(A)=\frac{AC}{AB}[/tex]

we have

[tex]A=33\°,AB=14\ cm[/tex]

Substitute and solve for AC

[tex]cos(33\°)=\frac{AC}{14}[/tex]

[tex]AC=14cos(33\°)=11.7\ cm[/tex]