86.19°
Step-by-step explanation:
Let x represent the missing value.
The given trigonometric equation becomes:
![\tan x=15](/tpl/images/0378/6501/472dc.png)
We take the inverse tangent of both sides to obtain:
![\tan^{-1}(\tan x)=\tan^{-1}(15)](/tpl/images/0378/6501/be3ce.png)
This implies that;
![x=\tan^{-1}(15)](/tpl/images/0378/6501/f43da.png)
We use at least a scientific calculator to evaluate this and obtain:
![x=86.18592517\degree](/tpl/images/0378/6501/0955e.png)
To the nearest hundredth, the missing value is ![x=86.19\degree](/tpl/images/0378/6501/30911.png)