Question

Can you please help me out ?

Answer 1

Lets get started :)

The formula is given 
We know tan = $\frac{opposite}{adjacent}$
opposite = 8.9 cm
adjacent = 7.7 cm
 tan⁻¹ ($\frac{8.9}{7.7}$) = x  {Given}
x = 49.13467137
x ≈ 49° (to the whole degree)

Answer 2

We use the trigonometric definition:
 Tanx = (a) / (b)
 a: opposite leg.
 b: adjacent leg.
 Substituting we have:
 Tanx = (8.9) / (7.7)
 Clearing the value of x we have:
 x = Atan ((8.9) / (7.7))
 x = 49.13467137
 whole degree
 x = 49 degrees.
 Answer:
 x = 49 degrees.