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