1. All about right triangles
Unit 8 - Trigonometry
All about right triangles

4. angle
Hyp H
Opp
Adj
Adj
Opp
angle

5. SOH CAH TOA angle S 𝑂 𝐻 C 𝐴 𝐻 T 𝑂 𝐴 = 𝑂 𝐻 = 𝐴 𝐻 = 𝑂 𝐴 H O A 8 = 17 15

6. SOH CAH TOA angle angle S 𝑂 𝐻 C 𝐴 𝐻 T 𝑂 𝐴 = 𝑂 𝐻 = 𝑂 𝐻 = 𝐴 𝐻 = 𝐴 𝐻
= 𝑂 𝐴
= 𝑂 𝐻
= 𝐴 𝐻
= 𝑂 𝐴
angle 16 4 8 = = = 20 5 17 12 3 15 = = = 17 20 5 16 4 8 = = = 15 12 3

7. = 𝑂 𝐻 = 𝐴 𝐻 = 𝑂 𝐴 angle 24 12 = = 26 13 H 10 5 O = = 26 13 24 12 = =

8. = 𝑂 𝐻
= 𝐴 𝐻
= 𝑂 𝐴 24 12 = = 26 13 H 10 5 O = = 26 13 24 12 = = 10 5
angle A
.731
.848
9.514
.73
.85
9.51

9. angle H S
__OH A O
_____ ___ = ___
sin 64 x 13

10. angle angle 38 64 = 1 T S _____ ___ = ___ tan 10 sin x _____ ___ = ___
__OA
angle H H S O
__OH A
angle A O
_____ ___ = ___
tan 38 10
sin 64 x
_____ ___ = ___ x 1 13 13
sin 64 = x
x =
11.68

11. angle angle 38 64 = 1 = 1 T S _____ ___ = ___ tan 10 sin x
__OA
angle H H S O
__OH A
angle A O
_____ ___ = ___
tan 38 10
sin 64 x
_____ ___ = ___ x x 1
tan 38 = 10 = 1 13 13
sin 64 x
tan 38
x =
11.68
x =
10 /
tan 38
x =
12.80

12. __AH C H O A
angle
_____ ___ = ___ 53
cos x 50

13. angle 56 angle 53 = 1 S C _____ ___ = ___ sin 15 x _____ ___ = ___ cos
__OH S
__AH C O H A O
angle H
_____ ___ = ___
sin 56 15 A
angle x
_____ ___ = ___ 53
cos x 50 50
cos 53 = x 1
x =
30.09

14. angle 56 = angle 1 53 = 1 S C sin _____ ___ = ___ 15 x x sin 56 15 sin
__OH S
__AH C O H A O
angle H
sin 56
_____ ___ = ___ 15 A =
angle x x
sin 56 15 1
sin
_____ ___ = ___ 53
cos x 56 50 50
cos 53 = x 1
x =
30.09
x =
15 /
sin 56
x =
18.09

15. H
angle A
__OH S O 60
_____ ___ = ___
sin x 25

16. angle angle 60 54 = 1 S S sin x _____ ___ = ___ sin 17 _____ ___ = ___H
angle H S A
__OH A O
__OH S O 60 54
sin x
_____ ___ = ___
sin 17
_____ ___ = ___
sin = x x 25 25 60 1
x =
21.65

17. angle angle 60 54 = = 1 1 S S _____ ___ = ___ sin x _____ ___ = ___H
angle H S A
__OH A
__OH S O O 60 54
_____ ___ = ___
sin x
_____ ___ = ___
sin 17 = x x x
sin 54 = 17 25 25
sin 60 1 1
sin 54
x =
21.65
x =
17 /
sin 54
x =
21.01