To determine the appropriate cosine ratio, we'll analyze each of the given choices:
1. Choice 1: [tex]\(\frac{2}{1}\)[/tex]
- Calculating this ratio: [tex]\(\frac{2}{1} = 2.0\)[/tex]
2. Choice 2: [tex]\(\frac{1}{2}\)[/tex]
- Calculating this ratio: [tex]\(\frac{1}{2} = 0.5\)[/tex]
3. Choice 3: [tex]\(\frac{11}{5}\)[/tex]
- Calculating this ratio: [tex]\(\frac{11}{5} = 2.2\)[/tex]
4. Choice 4: [tex]\(\frac{5}{11}\)[/tex]
- Calculating this ratio: [tex]\(\frac{5}{11} \approx 0.45454545454545453\)[/tex]
The cosine ratios for the given choices are calculated as follows:
- Choice 1: 2.0
- Choice 2: 0.5
- Choice 3: 2.2
- Choice 4: 0.45454545454545453
By analyzing these values, we can determine that the cosine ratio relating to the given conditions [tex]\(x=10, y=5\)[/tex], and [tex]\(z=11\)[/tex] among other information provided is included in these pre-calculated options.
