Answer: 35 ft
Step-by-step explanation:
Given
Vertical height from the eyes of the person to the top of the flag is [tex]X-5[/tex]
Horizontal distance is [tex]30\ ft[/tex]
The angle of elevation is [tex]45^{\circ}[/tex]
From the figure, we can write
[tex]\Rightarrow \tan 45^{\circ}=\dfrac{X-5}{30}\\\Rightarrow 1=\dfrac{X-5}{30}\\\\\Rightarrow X-5=30\\\\\Rightarrow X=35\ ft[/tex]
