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alina1380 [7]
3 years ago
13

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

Mathematics
1 answer:
krok68 [10]3 years ago
8 0

Answer:

5/13

Step-by-step 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

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
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Distributive Property

Equality Properties

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Step-by-step explanation:

<u>Step 1: Define</u>

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<u>Step 2: Solve for </u><em><u>t</u></em>

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