Answer/Step-by-step explanation:
Recall: SOHCAHTOA
2. Reference angle = 62°
Adjacent = 25
Opposite = x
Apply TOA:
Tan 62 = Opp/Adj
Tan 62 = x/25
25*Tan 62 = x
x ≈ 47.0 (nearest tenth)
3. Reference angle = 26°
Hypotenuse = x
Opposite = 11
Apply SOH:
Sin 26 = Opp/Hyp
Sin 26 = 11/x
x × Sin 26 = 11
x = 11/Sin 26
x ≈ 25.1 (nearest tenth)
4. Reference angle = 48°
Hypotenuse = 32
Opposite = x
Apply SOH:
Sin 48 = Opp/Hyp
Sin 48 = x/32
32 × Sin 48 = x
x ≈ 23.8 (nearest tenth)
5. Reference angle = 12°
Hypotenuse = x
Adjacent = 29
Apply CAH:
Cos 12 = Adj/Hyp
Cos 12 = x/29
29 × Cos 12 = x
x ≈ 28.4 (nearest tenth)
6. Reference angle = x
Hypotenuse = 15
Adjacent = 14
Apply CAH:
Cos x = Adj/Hyp
Cos x = 14/15
x = cos^{-1}(14/15)
x ≈ 21.0° (nearest tenth)
7. Reference angle = x
Opposite = 19
Adjacent = 23
Apply TOA:
Tan x = Opp/Adj
Tan x = 19/23
x = Tan^{-1}(19/23)
x ≈ 39.6° (nearest tenth)
8. Reference angle = x
Hypotenuse = 17
Adjacent = 9
Apply CAH:
Cos x = Adj/Hyp
Cos x = 9/17
x = Cos^{-1}(9/17)
x ≈ 58.0° (nearest tenth)
9. Reference angle = x
Hypotenuse = 45
Opposite = 43
Apply SOH:
Sin x = Opp/Hyp
Sin x = 43/45
x = Sin^{-1}(43/45)
x ≈ 72.9° (nearest tenth)
