48.6k views
1 vote
What is cosA ?



Enter your answer, as a simplified fraction, in the box.

What is cosA ? Enter your answer, as a simplified fraction, in the box.-example-1

1 Answer

4 votes

Answer:

5/13

Explanation:

From the mnemoic SOH CAH TOA, we know that ...

... Cos = Adjacent/Hypotenuse

In this triangle, that means ...

... cos(A) = AC/AB

We are given the value of AC, but we need to find the value of AB. We can do that using the Pythagorean theorem:

... AB² + AC² +BC²

... AB² = 15² +36² = 1521 = 39²

... AB = 39

Then ...

... cos(A) = 15/39 = (5·3)/(13·3)

... cos(A) = 5/13

User Odhran Roche
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories