Answer:
75°
Step-by-step explanation:
Recall: SOH CAH TOA
Reference angle = ? = θ
Side length opposite to reference angle = 27
Hypotenuse length = 28
Apply SOH, which is:
[tex] sin(\theta) = \frac{Opposite}{Hypotenuse} [/tex]
Substitute
[tex] sin(\theta) = \frac{27}{28} [/tex]
[tex] \theta = sin^{-1}(\frac{27}{28}) [/tex]
[tex] \theta = 75 degrees [/tex] (nearest degree)
