Answer:
a. 40°
b. 21°
Step-by-step explanation:
a. Reference angle = θ
Opposite = 5
Adjacent = 6
Apply TOA:
[tex] Tan (\theta) = \frac{Opp}{Adj} [/tex]
[tex] Tan (\theta) = \frac{5}{6} [/tex]
[tex] \theta = Tan^{-1}(\frac{5}{6}) [/tex]
[tex] \theta = 40 [/tex] (nearest degree)
b. Reference angle = x
Opposite = 5
Hypotenuse = 14
Apply SOH:
[tex] Sin (x) = \frac{Opp}{Hyp} [/tex]
[tex] Sin (x) = \frac{5}{14} [/tex]
[tex] x = Sin^{-1}(\frac{5}{14}) [/tex]
[tex] x = 21 [/tex] (nearest degree)
