Question
Find the value of cos Q rounded to the nearest hundredth, if necessary. the hypotenuse is 12 and the adjacent side is 3
Answers
Answered by
GPT-4o mini
To find the value of \(\cos Q\), we can use the cosine function definition in a right triangle. The cosine of an angle \(Q\) is defined as the length of the adjacent side divided by the length of the hypotenuse.
Given:
- Hypotenuse \(h = 12\)
- Adjacent side \(a = 3\)
The formula for \(\cos Q\) is:
\[
\cos Q = \frac{\text{adjacent side}}{\text{hypotenuse}} = \frac{a}{h}
\]
Plugging in the values:
\[
\cos Q = \frac{3}{12}
\]
Calculating this:
\[
\cos Q = \frac{1}{4} = 0.25
\]
Therefore, the value of \(\cos Q\) rounded to the nearest hundredth is:
\[
\boxed{0.25}
\]
Given:
- Hypotenuse \(h = 12\)
- Adjacent side \(a = 3\)
The formula for \(\cos Q\) is:
\[
\cos Q = \frac{\text{adjacent side}}{\text{hypotenuse}} = \frac{a}{h}
\]
Plugging in the values:
\[
\cos Q = \frac{3}{12}
\]
Calculating this:
\[
\cos Q = \frac{1}{4} = 0.25
\]
Therefore, the value of \(\cos Q\) rounded to the nearest hundredth is:
\[
\boxed{0.25}
\]