Answer:
71
Step-by-step explanation:
Recall the trig ratios
Sine = Opposite over Hypotenuse
Cosine = Adjacent over Hypotenuse
Tangent = Opposite over Adjacent
We are given ∠T's opposite side length and the adjacent side length.
When dealing with opposite and adjacent we use trig ratio Tangent.
( remember tan = opposite over adjacent )
[tex]tan(x)=\frac{52}{18}[/tex]
* multiply each side by the inverse of tan ( [tex]tan^-^1[/tex] )
[tex](tan)^-^1tan(x)=x\\(tan)^-^1*\frac{52}{18} =70.906508\\x = 70.906508[/tex]
* round to the nearest degree *
We get that x = 71
