This states that a number divided by 3 is 21. the equation is: n/3 = 21
Answer:
Assuming the slide is straight - 12 feet
Step-by-step explanation:
Assuming the slide is straight - it creates a right triangle with long side 13 feet and one of the short sides of 5 feet. We need to find the other short side.
We know that:
![x^2 + 5^2 = 13^2\\x^2 + 25 = 169\\x^2 = 144\\x = 12 \vee x = -12\textrm{; but -12 doesn't make sense}](https://tex.z-dn.net/?f=x%5E2%20%2B%205%5E2%20%3D%2013%5E2%5C%5Cx%5E2%20%2B%2025%20%3D%20169%5C%5Cx%5E2%20%3D%20144%5C%5Cx%20%3D%2012%20%5Cvee%20x%20%3D%20-12%5Ctextrm%7B%3B%20but%20-12%20doesn%27t%20make%20sense%7D)
The GCF of 26 and 70 is 2.
Applying the trigonometry ratios, we have:
a. CD = 63.6
b. CD = 33.8
c. CD = 16.1
d. CD = 15.9
<h3>What are the Trigonometry Ratios?</h3>
The trigonometry ratios are used to find a length or angle in any right triangle. They are:
- SOH, which is sin ∅ = opp/hyp
- CAH, which is cos ∅ = adj/hyp
- TOA, which is tan ∅ = opp/adj
a. ∅ = 32°
hyp = 75
adj = CD
Apply CAH:
cos 32 = CD/75
CD = cos 32 × 75
CD = 63.6
b. ∅ = 56°
opp = 28
hyp = CD
Apply SOH:
sin 56 = 28/CD
CD = 28/sin 56
CD = 33.8
c. ∅ = 43°
opp = 15
adj = CD
Apply TOA:
tan 43 = 15/CD
CD = 15/tan 43
CD = 16.1
d. ∅ = 27°
hyp = 35
opp = CD
Apply SOH:
sin 27 = CD/35
CD = sin 27 × 35
CD = 15.9
Learn more about the trigonometry ratios on:
brainly.com/question/10417664