Given the diagram we can use the trigonometric identity sine:
[tex]\sin\theta=\frac{opposite}{hypotenuse}[/tex]
Where:
opposite = 45
hypotenuse = 51
Substitute the values we have:
[tex]\sin\theta=\frac{45}{51}=\frac{15}{17}[/tex]
Then solve for theta:
[tex]\theta=\sin^{-1}(\frac{15}{17})=61.9[/tex]
Answer: theta = 61.9°
