Answer:
68.2°
Step-by-step explanation:
This is a right triangle, so we can use SIN,COS,TAN to solve for the angle.
We want ∠YXZ
THe side opposite to the angle is given as 20
The side adjacent to the angle is given as 8
Which trig ratio relates "opposite" and "adjacent"??
It is Tan!!
Thus, we can write:
[tex]Tan(\angle YXZ)=\frac{20}{8}\\Tan(\angle YXZ)=\frac{5}{2}\\Tan(\angle YXZ)=2.5\\\angle YXZ = ArcTan(2.5)\\\angle YXZ = 68.2[/tex]
THis is the angle
68.2°
