Using the Trigonometry ratios, the missing sides and angles are:
1. sin R = 5/13
2. sin T = 12/13
3. cos R = 12/13
4. cos T = 5/13
5. tan R = 5/12
6. tan T = 12/5
7. x = 16.5
8. x = 58.9
9. x = 9.2
10. x = 35.9
11. x = 40.7°
12. x = 77.8°
What are the Trigonometry Ratios?
The Trigonometry ratios that can be used to solve any right triangle are given as: SOH CAH TOA.
SOH is: sin ∅ = opp/hyp
CAH is: cos ∅ = adj/hyp
TOA is: tan ∅ = opp/adj.
1. sin R = opp/hyp = 15/39
sin R = 5/13
2. sin T = 36/39
sin T = 12/13
3. cos R = adj/hyp = 36/39
cos R = 12/13
4. cos T = 15/39
cos T = 5/13
5. tan R = opp/adj = 15/36
tan R = 5/12
6. tan T = 36/15
tan T = 12/5
7. Apply CAH:
cos 38 = x/21
x = (cos 38)(21)
x = 16.5
8. Apply TOA:
tan 23 = 25/x
x = 25/tan 23
x = 58.9
9. Apply TOA:
tan 57 = x/6
x = (tan 57)(6)
x = 9.2
10. Apply SOH:
sin 32 = 19/x
x = 19/sin 32
x = 35.9
11. Apply SOH:
sin x = 15/23
x = sin^-1(15/23)
x = 40.7°
12. Apply TOA:
tan x = 37/8
x = tan^-1(37/8)
x = 77.8°
Learn more about Trigonometry ratios on:
https://brainly.com/question/10417664
