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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.

2 Answers

1 vote
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

User Paul Belanger
by
7.3k points
7 votes

Answer:


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

User Studgeek
by
6.7k points